Well, I haven't played too many DOS games, I play more Atari ST. But for the games I do know (often also available for ST) (not necessarily in the right order) (I'm not 100% certain they are all DOS, but I think most of them are) :
Lemmings, and things like oh no, holiday, just the games using that engine.
Lemmings 2.
Lost Vikings. It's a great game, I think, although I've never gotten very far in it.
LucasArts games, I played Day of the Tentacle and Sam & Max: Hit the Road. I only saw other people play DotT, the only one I completed is Sam & Max.
Dizzy: Prince of the Yolkfolk. Why? Well, mostly nostalgia, I guess, it was one of the games I really loved when I was young, even though it's not of great quality.
Lotus: The Ultimate Challenge. For its soundtrack. It's amazing. I've spent more time listening to the soundtrack than actually playing this game, I think.
Fable. It's a pretty nice point & click adventure game.
Those are some DOS games I really liked.
Games I'd really like to play in the future: Monkey Island and the Gobli(i(i))ns trilogy.
Does anyone have any recommendations for me? I don't like overly violent or occult games (in fact, if Lemmings wouldn't be one of my favourite games of all time, I would've stopped playing when I saw the horror theme for the first time).