Bottle of iodine or merthiolate (or tincture of green soap - they all work well.)
Small dropper bottle of chlorine bleach (for purifying water - about two drops to the quart, shake well, and let it work for about 15 minutes.)
"tourniquet." You can really use just about anything - I keep a couple of issue BDU belts (with the "tri-glide" buckle) around for heavy pressure bandages or tourniquets. Easier to handle than rope, and easier to release (if you have to use a tourniquet, you need to release it once every 10-15 minutes for about 30 seconds to keep the tissue alive. A tourniquet is usually considered a 'drastic' measure, and should only be actually removed by a surgeon.)
CA glue (cyanoacrylate ester) works well for minor cuts and scrapes - that's what it was actually invented for. As I recall, there ain't a germ that can handle the stuff - and it sticks through blood. Check yourself for an allergy by putting a small drop on the inside skin of your elbow and watch it for 48-72 hours. Watch for a reaction - if you have one, do not put it in your kit! (Slight redness can be considered normal, but any rashes, inflammation, or turning bright red is a "reaction.") Check your regular companions as well. It's no replacement for a bandage or pressure on deep cuts, but it works well for all the little cuts you tend to get on your hands.
Ditto on the maxis - they're great for bloodstoppers.
If you plan to carry a well-stocked kit, make sure you know how to use it! Take a course in First Aid (you can take it by itself or with a basic CPR course.) If you want to expand past that, take the next course up - there are a series of First Aid courses (not very many - I think it goes First Aid, Basic Life Support, Advanced Life Support, First Responder.) There are also variations on the CPR course (Basic, Infant/Child, Elderly. I don't think they teach "two-rescuer" CPR anymore.)
Check around - both Gall's and various industrial supply outfits (that cater to construction workers) should have sunscreen in the form of the little wet towels like you get at KFC - much easier to handle in the field. Some alcohol prep pads are also useful - you can use them directly to disinfect minor cuts, and I've used them as a first layer (under the gauze) on heavier cuts to keep them sterile.
Water. You'll need it - it can help to replace blood volume in some cases (keeping the fluids up.) Carry some salt as well - if you spend time in the desert and get dried out, drinking just plain water won't help you as much as water with a little salt will.
A "burn gel" pad won't go awry - sooner or later, someone is going to get themselves burned somehow. Might as well be ready.
Keep it all in a rigid case! My kit is housed in a Swedish military vehicle first aid kit box - it's not only rigid (and really tough!) it's also compartmented for organisation. Two luggage latches, and it flops open. There it is!
Keep a couple of road flares around for starting fires. Shock makes you cold - you'll need to keep their heat up. Also, they can be used for signalling, or for starting signal fires (if you're really up the creek...)
And again, having the gear isn't a guarantee that you'll handle emergencies. It's a heavy part mindset, and a heavy part training (equipment can be improvised, if you know what you're about.) Take a course or three! If you're taught well and you pay attention, you'll need less gear to handle an emergency, and you won't panic (panicking often gets people killed. Remember that...)