The only 21st century Trek I've watched significant amounts of is Lower Decks, which I've enjoyed quite a bit so far. (I'm borrowing DVDs from the library, and am currently part-way through season 3.)
I like it in part because it's very clear it's not to be taken too seriously, while still having lots of callbacks of both the spirit and the specific events of TOS and TNG; but doing it with enough tweaks and silliness to remain interesting.
