There are five daily trains to/from Brasov, (6.5-9 hours), two to/from Bucharest (9.5-10 hours), and one to/from Timisoara (6.5 hours). There is also a daily train to/from Budapest. Service to Cluj-Napoca (4 hours) is available with a transfer and 1-hour layover.
There are buses every 2 hours to/from Brasov (3 hours) and bucharest, passing through Sighisoara and Rupea.
This bus go from autogara at Strada Bega . To Brasov go microbus, to bucharest classic bus. Schedule and price at 
And frequent busses to Cluj-Napoca (2.5 hours).
Busses also go east, towards Szovata and Udvarhely (Odorheiu). Beware, however, that different bus lines have different terminals. If the Romanian bus webpage (autogari.ro) indicates that you will have a transfer, make sure that you know how to effect that transfer. Otherwise you will face a taxi ride across town and risk missing your connection.
A bus is by far the cheapest option to get around. A ticket costs 2 lei and can be purchased on board from either the driver or an attendant who is usually sitting elsewhere on the bus. It is an honor system so if you're caught without a ticket or proper ID, you have to pay a fine. The route is posted on the front window of the bus.
Taxis are cheap. Different companies charge slightly different rates. The average per km rate is about 1.68 lei. The cab drivers can speak Romanian and usually Hungarian. Many are also fluent in English.
Targu Mures Fortress, (right in the centre of the city on the hilltop), . This fortress was erected in the 15th century around a monastery and church. In the 17th century 6 bastions were added. Originally there were houses inside the citadel, but these were destroyed to make room for military buildings.free. edit
Cultural Palace, (center of the city), . It is a remarkable building built between 1911-1913 in the Hungarian Art Nouveau style. The Filarmonica de Stat Targu Mures holds regular classical concerts in the splendid hall, which is supposed to have the best acoustics in Romania.edit
Tempo, Morii St. A restaurant with a vast array of dishes and specialties. A lot of character as well with a Hungarian musical band every night.edit
La Teo Restaurant, Alexandru Papiu Ilarian Nr.1 (right next the Medieval Fortress), ☎ 0265212244, . 11AM-midnight. International dishes and local food. Great coffee, wine bar, and house made cakes and deserts. Run by a friendly owner, Teo, who lived in Italy for 10 years and helps in the kitchen. Good non-smoking section.edit
Kashmir (tearoom), Strada Nicolae Iorga (Next to the fortress on top of the hill. It's across the street from La Teo and across the street from the University Petru Maior), ☎ +40 365739067, . 8:00 - 0:00. This stylish Jugendstil tearoom has everything to offer for tea sipping students. Great romantic feel.teapot 7 lei. edit
Ama deus (bakery and coffeehouse), Revoluției Str (On Revoluției Str between Poștei Str and Pasajul Rákóczi straircase the shop shares the courtyard with Animal World. Sign on the streetside wall). 8:00 - 21:00. This bakery with tasty pastry, nice coffee and fresh bread is popular among locals. It has lots of pictures of local churches on the walls. The friendly staff serves you coffee in mugs decorated with Hungarian bible texts, so you get your caffeine with a shot of holy spirit to-go. Non-smoking coffeecorner only.coffee 3 lei. edit
Piaf (coffeehouse), Bolyai Str 10 (On Bolyai Str, a side street from the main square Piaţa Teatrului.), ☎ +40 735 206 180, . 8:00 - 1:00. This uptown place with artistic design is popular among students and foreign visitors. Open till 3h Fri and Sat. Pasta and burgers on menu. Non-smoking section available.coffee 5 lei. edit
Zanza cafe & lounge, Piata Trandafirilor nr. 52 (Go from the boulevard into the courtyard and up the stairs), ☎ 0735935130, . 9:00-1:00h. This dark cafe is nicely decorated with bookshelves and art. Nice coffee, tea and the usual alcoholic drinks. Smoking area only.Coffee 5 lei. edit
Whats up, Calarasilor str (At the end of the main strip (coming from the Mall) turn left on the far side of the road. You should see the sign on the road and then its through the arch down the stairs). This small bar gives a cave style feel and is clean and well organized. Decent range of beer, liquors, coffee, tea, and the popular hot chocolate drinks in various flavors.Whisky or cognac: 10-25 lei. edit
Dublin Irish Pub, Mihai Viteazul Str. An Irish-themed pub that serves Guinness and many other drinks! There is a decent menu of both Irish and other dishes as well. A little on the expensive side and lacking in atmosphere.edit