I'll play.
"Camping" means different things to different people. Here's what works for me.
For 3 season solo camping (New England, mostly in the Whites of NH), I use a BatchStovez 1.0 alcohol stove and a light tarp or tarp tent.
Stanley Pot on BS 1.0 by
Pinnah, on Flickr
This is fast and light, where hiking is the point and being in camp is about being comfortable and lazy. Food is typically to be rehydrated or if not, is precut and can be spread with a spoon. For this style of hiking, all I take is a Leatherman PS4 Squirt (bottom of picture). The pliers are useful for driving needles through fabric and repairing zippers. The scissors handle bandage prep for 1st aid. The small pen blade handles minor package opening and cordage cutting (rare).
Outdoor Carry by
Pinnah, on Flickr
If my food requirements demand a real knife to cut stuff or as a luxury, I'll often carry a light pocket knife. Usually it's an Opinel #9 (pictured), or an Opinel #10.
I've done a fair bit of bike touring in my past and this is the same thing I would carry for that style of camping too.
In the winter, I do a bit of ski touring. For overnight trips (winter ski camping is the best type of camping, imo), the alcohol stove gets replaced with a Svea 123 white gas stove, which I'll bet my life on. The knife combo is generally the same.
For XC skiing day trips, especially on long day trips where an injury might force us to stay in the wood unexpectedly but we still want a light day pack, I'll carry a twig stove like this Emberlite.
Hot Chocolate by
Pinnah, on Flickr
This drops the need to carry fuel since XC trips are almost always in the lower hardwoods where fuel is plentiful. The Emberlite can be run for extended periods with minimal effort too.
To feed the Emberlit, I generally carry a Silky folding saw and a 5" fixed blade like this.
Winter fire tools by
Pinnah, on Flickr
For regular backpacking, I've tried hard to replace the light Opinel with a small Mora Companion. I just find fixed blades to be too cumbersome for backpacking. Pocket knives are just much handier and less clunky. Unless I'm running the Emberlit, there's not a lot of upside to carrying it. The Companion is a very fun knife. But not fun enough to justify the weight and hassle.
We do a fair bit of car camping with the kids during the summer. This is always at maintained campgrounds, so there's not need to be cutting vegetation. In fact, it's forbidden. For splitting purchased bundles of firewood, I just pack an axe. Why not? Easy and done. For the fun of it, sometimes I'll take a smaller boy's axe too. That usually handles splitting just fine.
For kitchen duty while car camping, I usually take this (modified) Case 316-5. It does great for food prep. Very versatile and it doesn't overwhelm anybody. I've also take my 5" Schrade (pictured above) and that does fine too.
Case 316-5 (drop point) by
Pinnah, on Flickr