Ok here is a question, lets try and be fair and comment on the system also.
For example,
The SNES
My most vivid memory would be Another World or Out of this World to those of you across the pond.
Good choice. I first played Another World on the Sega CD and I was very impressed with it at the time. Sewer Shark also on the Sega CD has always been a favourite of mine. It's so cheesy it's good!