Füssen im Allgäu  is an enchanting town in Bavaria, Germany known for the Hohes Schloss and its Basilica and former Benedictine monastery of St Mang. The world famous Neuschwanstein Castle is situated a few kilometres to the east. Some visitors come to tour the castles and leave immediately afterwards leaving the beautiful little town unexplored. This is a great pity as there is much to see in Füssen and the surrounding area if you know what you are looking for! There are magnificant lakes with beautiful views and the "Kalvarienberg" which has the "Stations of the Cross" on it.
There are many connections between Füssen and Munich. Direct trains leave about every two hours. Other options require changing trains along the way. The cheapest ticket for this trip (especially if you are travelling with others and if you are going to return on the same day) is called "Bayern-Ticket" which is 23€ with every additional person up to a maximum of five only 5€. It is valid in all RE, RB and ALX trains on this route, but not in the IC/EC/ICEs. Be aware that on weekdays this ticket is only valid after 9 am (this restriction does not apply on weekends).
Maybe the cheapest way to get there: Many bus tours are operated to Füssen from most parts of southern Bavaria, often including a visit of the fairy-tale castle Neuschwanstein. Watch for tours at Munich main station (Hauptbahnhof).
Füssen is small enough that a car is not really needed. There is a bus to the castles and the trains to Munich and Augsburg and the old town is easy enough to access by foot. You can walk to Neuschwanstein and Hochschwangau castles via some marked roads; travel times posted on the signboards are comfortable over-estimates.
There are some great areas nearby, like some of the lesser-known castles, which would be easier to reach with your own car. It is possible to rent a car in Füssen.
Another alternative is to rent a mountain bike. There are numerous shops, one even right at the train station. Füssen has invested a lot into developing a network of bike routes and paths to make biking easier.
Houses and Hohes Schloss (Higher Castle-Formally home to the Prince Bishops of Ausgburg) in Füssen
Schloß Neuschwanstein, Neuschwansteinstr. 20 (Bus Nr. 73 or Bus Nr. 78 from Füssen), ☎ +49 - (0) 83 62 - 9 39 88-0 (firstname.lastname@example.org, fax: +49 - (0) 83 62 - 9 39 88-19), . Ticket sale times: April - Sept: 9 am - 5 pm, Oct - March: 10 am - 3 pm. Closed on January 1, Shrove Tuesday, Dec 24, Dec 25, Dec 31. The mother of all German castles is only 3 kilometers away from Füssen. This fairy-tale castle is well-known worldwide. Make sure to sit behind the driver while bussing to the castles. You can also walk to the castle, which is about 30 minutes walk uphill. Be warned that taking photographs is prohibited inside the castle. There is no need to pay for the tickets if you are not interested in going inside the castle. You can go up to the castle and the bridge for free. WARNING: Do check the weather conditions before you plan your trip as misty conditions and rain reduce visibility to almost zero at those heights. You must buy the ticket in Ticket-Center Hohenschwangau, Alpseestraße 12. Addmission: Adults: € 12, Children under 18 free. Combination ticket „Königsticket“ for Neuschwanstein Castle and Hohenschwangau Castle on the same day: 23 € or 21 € concession. 
Hohenschwangau, Alpseestraße 12 (Bus Nr. 73 or Bus Nr. 78 from Füssen), ☎ +49 (0) 83 62 - 93 08 30 (fax: +49 (0) 83 62 - 93 08 320), . Hours of operation: April - Sept: 9 am - 6 pm, Oct - March: 10 am - 4 pm. Closed on December 24. The castle directly across from Ludwig II's fairy-tale castle. This castle served as Ludwig II's home while he was growing up. The ticket office closes half-an-hour before the castle does. Make sure to sit behind the driver while bussing to the castles.
Wieskirche: This pilgrimage church is one of the world's great rococo masterpieces, located only a ten-minute bus ride from Fussen in nearby Steingaden. A work of Dominikus Zimmermann and his brother Johann Baptist, it has been designated a UNESCO world cultural heritage site. Two bus trips daily; check at the station or Fussen tourist bureau for departure times.
Falkenstein: Another castle, this one is a ruin, a short distance from Füssen, near Pfronten. There is a great hotel and restaurant nearby, but driving there is a bit tricky.
Via Claudia: Füssen is on the Via Claudia — the old roman road from Donauwörth over the alps to Venice. You can travel the Via Claudia (or parts of) it by bike.
Tegelberg: A ski area, but in the summer you can take the lift to the top. Enjoy the view, hike some trails and stop by one of the little restaurants.
Bierstube (in Hotel Hirsch), Kaiser-Maximilian-Platz 7, ☎ +49 (0)8362/93980. 11:30 - 14:00 and 17:30 - 23:00. The "Bierstube" is a charming, bavarian snuggery with delicious, regional food and draft Beer from Munich. This is Füssens meetingpoint for the locals and a must see for visitors.
Great Little Jazz Bar - Can't remember name or address but here's exactly how to get there. From the center of the old town, go downhill till you hit the Lechhalde, the street that curves around the big church/monastery complex. Follow the Lechhalde across the bridge with streetlamps on it, and take a hard left at the far end. Inside the building right there on the corner is this funky place. Decorated in a gory punk skater style on the inside, they serve a wide range of tasty paninis (a tad expensive, 7 to 8 euro for a sandwich, but good) and German draft beers. Menu chalked on the wall. Make your way through the inside and get a seat in the room that overhangs the Lech River. Order a pint, watch the lights on the bridge play on the water at night, listen to the jazz fusion on the stereo and unwind. Service a little unreliable - you have to track someone down if you want a refill or a sandwich. One of the best spots in Fussen.
Hotel Sonne: A modern, 4-star hotel, directly in the old town of Füssen. About 5 minutes away from Castle Neuschwanstein. 
Hotel Fantasia: A 2-star, design hotel, a 1 minute walk from town. About 6 minutes away from Castle Neuschwanstein. 
Haus Bagci: A very friendly guesthouse a few minutes' walk from town. The rooms are very comfortable and the price is reasonable. There are apartments or double rooms. 
Hotel Ruchti: A smaller, 3-star hotel, minutes away from the old town, but in an area with almost no traffic. They have about 26 rooms and a great restaurant. Great people and great atmosphere, and wireless internet. 
Youth Hostel (Jugendherberge) The youth hostel is located behind the train station and is roughly a ten-minute walk. Most of the staff are not locals, but Germans from other parts of the country and want to complete their civil service in the area of the Alps, so they can be active in alpine sports. 
House L.A-City Hostel (+49-170 62 48610, fax: +49 8362 38534,email@example.com. Their newly opened "House L.A." is for travellers or family on a budget who wish to explore the region or who are looking for a weekend getaway. They offer private rooms for two to five people (suite) and are located in Füssen, near Neuschwanstein Castle. From the balcony or terrace you can enjoy the amazing view of the Alps.
Old Kings Great backpacker/youth hostel right in the center of town. Address: Franziskanergasse 2. Run by the fiery, lovely Sabine - worth the price of admission to get down to the lobby early, drink coffee with her and ask her about life and the universe in whatever English and German you can muster.
Another option is to drive about 10-minutes via the Schnellstrasse or hike about 1-hour along the beautiful wooded "fairy tale" trails that connect Füssen with the nearby Austrian village of Pinswang. There you will find several inns and private homes with guestrooms for travelers.
Gasthof Engel, Hauptstrasse 36, Hopferau (in the village of Hopferau), ☎ 08364 - 312 (firstname.lastname@example.org, fax: 08364 - 8622). A small guesthouse with 100 years of family history if you don't mind going 10 minutes by car and be off beaten path. Nice authentic food, clean and affordable rooms, great breakfast! Child and pet friendly.
Hotel Hirsch, Kaiser-Maximilian-Platz 7 (3 kilometres from the Schloss Neuschwanstein), ☎ +49(0)8362/93980. checkin: 15:00; checkout: 11:00. Hotel Hirsch is a traditional and welcoming hotel with modern amenities in the center of Füssen. It is a family run hotel in the 4th generation with Bavarian a la carte restaurant and most beautiful guestrooms. 
Altstadt Hotel zum Hechten, Ritterstr 6, ☎ +49 8362/91600, . from 59 €.
Be sure to visit nearby Austrian villages of Vils, Pflach, Pinswang and the capital of the Austrian Ausserfern District, Reutte.
Fussen is at the end of the Romantic Road (Romantische Strasse) which runs 350 km north along the west border of Germany to Wurzburg. This is a lot of fun. I've done the bottom 70 km into Fussen in a rental car and winding along a little two-lane through the fields and villages of Bavaria is an experience, with the Alps looming on the horizon. They say the northern sections are even more beautiful.