Past Flights- How?

Hi! I was wondering if there was a way to find out the flight report (altitude, timings, aircraft registration, call sign, flight path) for the route of a flight taken a couple of months or years back? I can give the date and flight number and origin/destination. Just want to know how to go about this because I am an aviation geek and want to know more about the flights that I have already been on.

Thanks,

Sharv