
FF4 was really the game that got me into RPGs, even though I had played Final Fantasy and Dragon Warrior prior. The problem with the DS port is they made everything way too hard!
I'm not a big fan of Castlevania games, mainly because Simon Belmont controls like he ate a big breakfast before going out to fight vampires. With that said, Super Castlevania IV has neat music and I like how you can hold out your whip and swing it all around. If you have the Castlevania collection, try Kid Dracula. That's my favorite.
Unfortunately the Mega Man games just keep getting harder. For Mega Man 4, I'd try Toad Man's stage first, as his pattern is pretty easy to figure out. Or maybe Ring Man. His pattern is a bit harder, though.
The game where Link washes up on a shore is Link's Awakening, which came out after Link to the Past. Link's Awakening is my top favorite Zelda game, so if you play that one, I'd be happy. But Link to the Past may be my second favorite Zelda game.