Daedalus is one I’ve had my eye on and bought on a sale a while back. Apparently it’s a prequel to what’s been localized as the Jake Hunter series in English. (I don’t think I’ve played any of those myself.) Detective work, no sexual content, <10hrs according to 1 vote on vndb
Sadly the reviews aren’t so good. Still planning to play it eventually.
This one also looks good to me : 1bitheart. I just randomly found it and don’t know anything about it other than that the premise sounds fun and the art is cute.
The only one I wouldn’t want to re play (with a club or not) rn is 逆転検事2, since I’m like one case away from finishing it as is. The other ones I’d be game for, especially the 大逆転 series which I haven’t played at all yet.