It really depends on how much you're willing to put up with. I think Spy Family is a good point to start out with; it doesn't have any of the annoying anime tropes that a lot of shows have. If you enjoy that, then I'd say try Steins;Gate, Mushishi, and Gurren Lagann. I haven't really thought these through, but I feel like these four shows are all different enough that you could get a good idea of what you're looking for based on what you like and dislike in them.

Steins;Gate has a much more complex story that you have to pay attention to–if you like Steins;Gate, add From The New World to your list. Mushishi is the most mature show on this list, not because of violence or anything, but because it's a slow-paced, serious story, the kind of anime that your grandparents might watch if they were weebs. If you like it, add Monster to your list. Gurren Lagann is my favorite out of these, but it has a lot of those annoying anime tropes I was talking about. If the childish story and oversexualization of female characters doesn't bother you, that opens up basically every other anime for you to potentially enjoy