The chicken's first aid kit is the basically same one as ours. The only thing added is 1" and ½" micropore tape, which is great for binding broken toenails. We combine that sometimes with gauze with tea tree cream and sometimes arrowroot powder for bad bleeding, as broken toenails can be very serious- sometimes the bleeding won't stop on its own. This is really only a problem with older birds that don't scratch about much.
We also have a range of other stuff which rarely gets used, if ever, and probably should go in the bin. We use stockholm tar, applied with a cotton bud, for wounds which can't be bandaged, but it is generally too runny and needs to be left open to evaporate and thicken up. Vaseline is regularly used in Winter to reduce heat loss through the comb and wattles.
It's quite a job adjusting between Winter an Summer, particularly here where the weather is surprisingly extreme. The ideal would be two separate coop and run arrangements- something we've never been able to do.