Off the top of my head, my FAK is VERY short-but, seeing as it will likely be for nothing more than minor cut repair, it neednt be a trauma kit:

A handful of bandages, regular size, and a few knuckle ones
Some cloth tape
Alcohol wipes
Compression gauze
A few large gauze bandages
Nitrile gloves

All of that fits in a ziplock bag. I also have a small sewing kit & a SAK in there. Thats it. If I break a leg, or twist an ankle, I cannot fix either, and I dont really need to carry items to deal with those things.

You are looking at blisters, small cuts, scrapes, and possibly burns, as your likliest of injuries. Unless you're a medic, you will likely not need 90% of the stuff in a FAK.

I also take some meds too; Advil, and allergy meds, as appropriate. All OTC stuff.

Remember, you are performing FIRST aid-the idea is that you prevent FURTHER damage until you can get to someone who can fix you