re: Good anime to start for someone who doesn’t like anime

Multiple good recs in here, so I won't pile on them.

Anime is generally not aimed at kids which is a huge misconception amongst a lot of the American populace. The majority of anime I've enjoyed I would never show to a kid

As for weird, it really depends on your bar for weird. A lot of 'weird' stuff can flow fine in anime because it is anime whereas it would be extremely jarring in a live action setting.