I've got an ideal situation in which to put together a very light complete camping kit: At PorcFest, I will have access to both a tent side and a hotel room, so if the camping end goes completely to shit with respect to weather or factors I'm missing, I won't likely die of hypothermia.
Of course, the kit isn't just for PorcFest / ForkFest, etc. I'm hoping to do a little "primitive" camping, with travel by bicycle, later this summer and fall. I want something that will fit easily into my pannier saddle bags and not weigh me down much at all.
Here's what I've either already got or have on my shopping list for the next couple of weeks (NOT affiliate links):
Tent: I already have a Rhino Valley Camping Tent (weight: 3 pounds, 3.25 ounces) around here somewhere, but "around here somewhere" has become a problem (my guess is it's in a not very well marked box in a storage unit), and I'd like to have two for music festivals where Tamara might want to stay overnight as well, or just nap. So I've ordered an L Runnzer, which supposedly weighs in at 3 pounds but which one reviewer got down to 1 pound, 7 ounces by using lighter tent pins:
Bag: Later this week, I'll order a compact, 1.7 pound ECOOPRO Warm Weather Sleeping Bag. I thought about just bringing a blanket, and probably would if it was just for PorcFest / ForkFest. But, see above. Any significant blanket is going to be added weight and bulk. Most of my camping will presumably be in Florida during warm weather. If I go farther afield in winter, I've got a mummy bag rated for -20 Fahrenheit. I've got an extremely light (8 ounces, maybe?), extremely thin rubberized mat (probably advertised as a "yoga mat" -- I got it at a garage sale for 50 cents and it has Time magazine's logo on it) to use as a vapor barrier between myself and the ground.
Cooking: My camp stove, including fuel, isn't much bigger than a cell phone and weighs about 10 ounces. It says it's an "emergency" stove, but I've done a two-day campout with it before and it met my needs.