Flights to Uganda from the USA:

There are no direct cheap flights to Uganda from the US. There are indirect flights arriving at Entebbe Airport near Kampala. However, most flights from the US use Nairobi in Kenya as a gateway to Uganda and so it is often easier for travellers to get a connecting flight to Kampala from there. There are also connecting flights available from Tanzania and Rwanda.
Which airlines fly to Uganda from the USA?
British Airways has flights to Uganda from Atlanta, Phoenix, Philadelphia, Orlando, New York, Tampa, Seattle, San Francisco, Miami, San Diego, Denver, Chicago, Dallas, Boston, Los Angeles, Baltimore, Las Vegas, Houston and Washington Dulles.
KLM offers flights to Uganda from New York, Seattle, Minneapolis, Atlanta, San Francisco, Miami, Dallas, Chicago, Boston, Detroit, Los Angeles, Houston and Washington Dulles.
Delta flies to Uganda from Washington Dulles, Houston, Los Angeles, Las Vegas, Boston, Chicago, Dallas, Denver, Miami, San Diego, San Francisco, Seattle, Portland, New York and Phoenix.
Brussels Airlines flies to Uganda from Philadelphia.
US Airways flies to Uganda from Philadelphia.

Flights to Uganda from the UK:

There are direct cheap flights to Uganda from the UK, arriving at Entebbe Airport near Kampala. However, most flights from the UK use Nairobi in Kenya as a gateway to Uganda and so it is often easier for travellers to get a connecting flight to Kampala from there. There are also connecting flights available from Tanzania and Rwanda.

Which airlines fly to Uganda from the UK?

British Airways has direct flights to Uganda from the prestigious terminal 5 at London Heathrow.
KLM flies to Uganda from London City Airport, Glasgow, Bristol, Birmingham, Leeds, Aberdeen, Liverpool, Newcastle, Manchester and Norwich.
Emirateshas flights from Glasgow, Newcastle, Manchester and Birmingham.
Brussels Airlines flies to Uganda from Edinburgh, Leeds, Bristol and Birmingham.

Others major flights to Entebbe:

Turkish Airlines has direct flights to and from Istanbul
Brussels Airlines flies non-stop to Entebbe from Brussels
KLM operate daily and direct flights to Entebbe from Amsterdam
Kenya Airways flies daily to Entebbe via Nairobi from Amsterdam
Kenya Airways flies to Entebbe 4 times a day from Nairobi
South African Airways has daily flights direct to and from Johannesburg.
Emirates offers flights to Entebbe via Nairobi and Addis Ababa on Airbus A340S from Dubai
Ethiopian Airlines offers daily service on Boeing 737s from Addis Ababa
Egypt Air flies three times a week to Entebbe from Cairo.
Rwandair daily flies to Entebbe from Rwanda's Kigali Airport.

By bus

Uganda is well serviced by a number of reputable international bus companies. Several bus companies offer direct routes from Nairobi, Kigali, Bujumbura, Goma, Juba, and Dar Es Salaam to Kampala. All of these buses will, in theory, allow travellers to alight at main towns along the route, e.g. in Jinja if coming from the Kenyan border to Kampala. A typical journey between Kampala and Nairobi lasts approximately 12 hours, including the border crossing.