Mines gone AWOL in a move but..
Electrical tape. (The sticky helps healing (urban legend).)
Roll of gauze bandage. Thought I'd get some self sticking bandage. Good for the dogs, too.
2 Melolin pads (3" x 3" I think) can be cut smaller.
Burn gel. For when you haven't got 15 minutes of cold running water)
Honey kept in small sections of straws and sealed. (Put on small cuts and abrasions is brilliant for keeping them clean and helps healing)
Superglue (good for head slices as used on me by A&E)
Butterfly sutures (I'm not licensed to stick pointy things in people)
Sealed tube of eyewash. (One of the most common problems I've come across is stuff in peoples eyes)
Tick tweezers.
Alcohol wipes (if things get bad you can suck them) (joke, unless you're in Saudi))
Nitrile gloves
Duct tape isn't in the kit but around.
I need to get some more zinc oxide tape type stuff.. Good for feet and sprains.
If someone else knows what they're doing I've usually got a curved needle and dental floss.