You will either land at Narita or Haneda. From each airport, various ways to reach Tokyo Center are available.
From Narita airport:_____________________________________
Situated about 60kms west of Tokyo.What options do you have?
1 / JR Nex. Narita to Tokyo station in 59mns (2940Yen)
2 / Keisei Skyliner. Narita to Ueno in 40mns (2400Yen)
3 / Limited Express. Narita to Ueno in 1hr15mns (1200Yen)
4 / Bus
Slower and more expensive than trains. The only advantage is the number of pick-up locations; if you don't fancy hauling heavy luggages to the station, choosing the bus could be handy. You can see find the pick-up locations here: http://www.limousinebus.co.jp/en/bus_services/
5 / Taxi
It will cost around 30,000Yen from Narita to Ueno.
From Haneda airport:___________________________________________
Situated about 12kms south of Shinagawa
1 / Monorail.
2 / Keikyu Line to Asakusa (fastest and best value for money; but beware of any changes if not direct!)
3/ Limousine Bus. 930Yen one way to Tokyo station .Many other destinations available. Night bus available between 00h00 and 05h00...
4 / Taxi. Fixed fares depending on where you are going; 24hrs a day (8,000¥ to Taito-ku).