Qatar Airways Now Flying to Budapest CheapOair Staff January 20, 2011 general Qatar Airways is now flying to Budapest, in Hungary. Budapest is now the 23rd European travel destination and 97th overall that Qatar makes trips to. The new route to the capital of Hungary will allow the airline to make connecting trips to the Asia Pacific and the Middle East. Qatar Airways will be using the A320 plane for the new route, it features 12 Business Class seats and up to 132 Economy seats. Source: Financial