1)Shulkie probably.
2)Both Kory and Jen have been shown on-panel to be highly ticklish, so Gamora wins.
3)Kory, as she "mud-wrestled" Wonder Woman.
4)Kory definitely.
Lol I now remember the Shulkie one, the one with Kori is knew to me. Comicbooks used to be a lot more fun back in the day heh. I guess Gamora does win then. Although one could argue that lack of proof is not a proof.
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Azula: My mommy didn't love me so I'm going to burn down your village.
There is no instance I know of which even hints at Gamora being ticklish, in sharp contrast to Shulkie and Kory who are not just literally shown to be very ticklish, but both of them have losing streaks in tickle fights.
I'm just going to respond to 4 because the rest is just sad.
Gamora might take it with the Godslayer, but even with it Kory is the only one with flight and long ranged attacks. Plus she's even got Shulkie-ish strength and was trained from birth by Okaara warlords.
Edge to Kory, IMO.
(Also that tickling thing is stupid because it was established around the same time that she can't be taken down by pressure points because of her "inhuman" physiology.)
Nope. Dick is far weaker than Kory, yet he tickled her silly. In a tickle fight, Gamora wins 10/10.
While I agree with your assessment of the only relevant portion of this battle(in which Kory wins)...
Supergirl has been tickled by bullets bouncing off her body.
A pressure point is merely a vital spot on the body which causes pain and/or temporary incapacitation when struck. Both Kory and She-Hulk are supposed to be invulnerable female bricks IIRC, so hitting them with pressure points would be useless. I don't see why that preempts them from being ticklish.