Third Crisis is a favourite of mine; female MC, villains use mind control to make everyone horny and you're trying to stop them (Or, more likely, give up and become a slut)
Degrees of Lewdity is another; its mostly text based, so maybe not to everyone's taste, but its set in a town where rape is...
I think there's a balance to it; giving too many options straight away can feel overwhelming / directionless, while too few feels restrictive and linear. Imo ideally it should be slightly restricted at first, then open up quite quickly (Think GTA 4/Cyberpunk restricting you to their starting...
I'm working through Quickie: Love Hotel Story at the moment, pretty fun blend of management sim and sandbox.
For straight up sandbox, Degrees of Lewdity is a favourite of mine, but its largely text based, so may not be to everyone's taste
Hand drawn is definitely my preference. Some 3d is great, but a lot is kinda janky ngl. I feel like I don't see much pixel art, but there is some great stuff there too
I'm sure I played some old flash games that I'm forgetting, but the first one I remember is SPNATI. Kinda cool to see its still getting updated, just had its 10yr anniversary