Yep, I expect any flight school would offer introductary flights that would match what you're looking for. Around here (Toronto area) they're usually a really good deal.

I don't think they're allowed to let you take off and land but you can usually take the controls once they're in the air.

M60ti, VP180, QS8, M2ti, EP500, PC-Plus 20-39
M5HP, M40ti, Sierra-1
LFR1100 active, ADA1500-4 and -8