Ah yes the first memory. But of course in those days I was only a tea boy.
A mate had an Amiga 600, loved the graphics. Think he was playing a game called Doddle Bug? It was a platformer but I bet if that's not the title that doesnt narrow it down much! I'm not sure if it was totally due to this but I bought loads of issues of Amiga Power at least a year before I got one just due to being facinated with it. Cant remember if I saw his 600 first or got the magazines first (I've got a Goldfish memory). Then one birthday I got my A1200!
Loved it. It came with Trolls, Pinball Dreams (I think) and a football game. Was blown away. I only had a small amount of games due to pocket money but still had loadsa fun. But I had amassed a great deal of cover disks by that point. Pitty not all were compatable but at least with the A1200 I got to play Gloom.