If you're doing a glass tank:
Tank with locking top
Under tank heater (UTH)
Thermostat to regulate UTH, this is probably the most important thing you need on your list!!!! DO NOT SKIP
If your room temps are not in the 80's then you will likely need a basking lamp and bulb to bring the temps up and create a basking spot.
Substrate such as aspen bedding or cypress mulch will help with getting humidity right (eventually).
2 hides (not the half round logs either) one for the hot side and one for the warm side. I use the black plastic ones from Reptile Basics (you can order almost all of the stuff listed here from them)
Infra Red temperature gun for reading surface temps (Do not buy the cheap dial kind thermometer or hygrometer, they're junk).
water dish
feeding tongs 12" or longer
feeder mice or frozen mice/rats
cleaning supplies
digital hygrometer

If you're doing a tub set up then the big difference tends to be the heat lamp as most don't use them. It can be done but I don't know the current opinion on their usage, I'm thinking it's not suggested as it's a bit of a safety hazard.