"Puggsy!" That name sounded right as soon as I read it, and now I've done some research and found out that that's the same game for sure. The screenshots on MobyGames threw me off because the graphics looked very different from how I remembered (probably because we're talking about a game I played one time when I was 11), but then I looked up a walkthrough on GameF.A.Q.s and found the part about the candle. Thank you, Fifth!
Now we just need to figure out the one with the eyeball boss. I think it was a difficult platform game with frantic autoscrolling and living bug-platforms, but my memory could be playing tricks on me again.