This is probably a short list, but that's not surprising - these kind of games can be enormous time sinks.
I don't care enough to have a specific definition of 'roguelike', let alone roguelikelike or its cousin roguelikelite, so if you don't like my choices, go make your own list.
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You knew this would be here. I've never gotten far, and I know I'll never finish it, but it's still fun just to play the first few levels and see just how chaotic things get before I inevitably die.
The adventurer mode counts, right?
I don't generally care for fast-paced FPS games - or at least I thought so - but really enjoyed this. It probably helped that I liked the design and art style. And with a few other (less random) games since, I'm starting to wonder if I was wrong about my fast-paced FPS dislike, and actually just dislike being beaten by jerks who are way better than me but happen to be human.
The reason I'm bothering to make this list (three things didn't seem worthwhile). It's surprising how close this hews to the formula in some areas - sectors of space versus dungeon levels, devices versus clothing and amulets, mysterious unidentified artifacts - while still doing some very interesting things on its own theme. By far the newest (only a month or so since the 'official' release) and probably the buggiest - I reached the 5000th 'dungeon level' and became an unimaginably rich near-immortal being mostly by accident on the way there, so I imagine there might be a few changes incoming in future.
Am I being silly, or do I really think Minesweeper's a roguelike(like)? Only I know for sure.