Gave it some thought, and here’s a few that should be good for a newbie to wet their beak.

Cowboy Bebop: A space western that got a lot of classic anime fans into the genre. The action is absolutely in service of the drama, and the storyline is powerful.

Nichijou: A zany comedy by KyoAni, light on story but extremely relatable humour and top quality animation.

KonoSuba: A comedy fantasy isekai. The characters are strong and the comedy is exceptional. Should give you a taste of isekai while still being a good experience if you don’t find isekai appealing.

Kaguya-Sama Love Is War: A romcom about two brilliant minds trying to get the other to make the first move. It’s incredibly funny, and has been a gateway to romance for many.

A Place Further Than the Universe: A slice of life adventure about high school girls joining an Antarctic expedition. It is deeply uplifting and full of the spirit of adventure.

Good news about the sequel!

But you can’t say you dislike romance, then say you want Ichigo to be with Rukia. That’s a blatant contradiction.

In light of the end of this post being Ichigo x Rukia shipping, I can’t take your second point seriously. You don’t dislike romance, you dislike Orihime.