if you can figure out why a move works you should be able to translate it into toribash.
leg hooking works wonders i use it to help secure throws and sit heavy against suplexs
You can certainly use their arm to throw them over you.
crotch grabbing and lifting them out of the ring is boring. effective yes but the ability to put someone on their head in the ring is more fun.
upside down is also possible i play quick aikido mostly so the momentum is less visible. most throws later game come from being able to regain ground control to redirect their momentum.
getting the cross kick counter to work seems posible. it would need a good leg sweeping game, dynamic gripping to pass it over and the stars to align with the right kick. i'm pretty terrible against snap kicks. but it seems like some thing that is possible rare but possible.