you should go to Roppongi of course, maybe osaka and sendai would be good to visit. will probably be cheaper to stay at a hostel or outside of big cities. also check out this website. he offers a car with diff and a set of tires for drifting at ebisu for $500. kinda pricey but if you have no other way and want to get into a car and drift in japan, this is good.
Ebisu Drift Tours & Car Rentals | Drift Life : Ebisu Circuit : powervehicles.com
hope this helps a little