I use chucks for everything except bench, where I use squat shoes. I wouldn't have bought squat shoes specifically for that though, obviously, I had them for squat but my coach had me ditch them.
Besides Chucks:
Wrist wraps
Knee/elbow sleeves
Knee wraps
Belt
Straps
Log and pencil
Wraps are ATP Strangulator/Pioneer Silver Beast/whatever they're called now. Sleeves are SBD. Wraps are Anderson KLA whatever the stretchy ones are. Belt got upgraded to SBD because I've been messing around with a suit occasionally and it's a pain to unscrew a lever halfway through a warm up and hold up the group. Straps are straps, I'm not picky, but I think mine are IronMind. Log is anything that is not spiral bound because those fall apart.
I think those are the essentials. I have tork in my bag but that never gets used. I used to have a dip belt but it broke because I am too dumb to realize "rated for three plates" does not mean 3 plates on each side of the belt squat machine, so now I use the one at the gym. And I have headphones but those get used rarely. And there's a Super Centurion squat suit in there sometimes but most of my training and all of my competing is raw, and it's a borrowed suit. Oh and there's a Slingshot in there sometimes but that also gets used rarely because it gives me bad movement patterns for raw, and I don't want it screwing up my bench again. So none of the stuff in this paragraph is really "essential."