The best price found from United States to Bangladesh is on February 11th, 2015, travelling with Qatar Airways. See more options, compare prices and book: search flights.
There are plenty of flights linking Dhaka with European countries such as Germany, Italy and the Netherlands, although flights usually go via somewhere like Kuala Lumpur or Kolkata. Turkish Airlines now runs direct flights to Dhaka from Istanbul.
There are basically two ways to get to Bangladesh from the USA. From the west coast virtually everyone flies to Dhaka via Bangkok or Singapore. You can also fly direct to India and connect from there, but it may cost more.
From the east coast most people fly via Europe.
There are three international airports in Bangladesh:
Dhaka Hazrat Shahjalal International Airport (DAC)
Chittagong Shah Amanat International Airport (CGP)
Sylhet Osmani International (ZYL)
Dhaka’s Hazrat Shahjalal International Airport is easily the busiest of the three. It’s pretty basic for a capital-city airport but it has money-changing facilities, including ATMs that accept foreign cards, some duty-free shops and a couple of restaurants.
There’s an official taxi rank, although it’s cheaper to try your luck with taxis and CNGs (auto-rickshaws) outside. At some stage in the future, the proposed Dhaka Metro will link the airport to the city, but that’s still a long way off.
The unofficial website for the airport (www.shahjalalairport.com) has a useful flight-status feed.
There are direct flights to/from all nearby Asian countries, and the newly agreed route between Dhaka and Rangoon in Myanmar may be operational by the time you read this. Most connections are through Dhaka, although it is possible to use Chittagong airport for India and Thailand. At the time of research, Sylhet’s airport only operated occasional international flights, such as those to Mecca during the Hajj pilgrimage.
From Dhaka, you can get particularly cheap flights to Thailand, Malaysia, India, China and the Middle East. Singapore’s budget airline, Tiger Airways, had just started flights to Dhaka at the time of research.
There were still no direct flights to and from Australia at the time of research, although steps were being made to introduce them. Until that happens, it’s easiest to fly via Bangkok, Singapore or Kuala Lumpur.
You should get some well-priced fares to and from London, often via the Middle East. Pricier direct flights are also available.