I have yet to get a decent lantern for in the tent at night. DD and I both have good head torches and some small hand torches (a combination of battery powered and dynamo powered for the latter). And at night, I put my head torch around the 5l water barrel filled with water and point the light through the water - which is adequate for background light, just not enough to read by.
Lidl recently had a solar charger - that worked well to charge my phone at this year's Cub camp.
For camping with DD, my main gear is:
Tent
Wind protection barrier thingy (oh so technical a term!)
Small square table (admittedly, I would like a 2nd table to have a cook station and a separate table to eat on - I don't have a camping cupboard, but that would probably do the trick)
2 folding chairs
2 large Ikea tubs for holding stuff (40l?) with lids
A 22l ikea tub, with "housemaids" (?) insert - to hold all my kitchen utensils, washup stuff, bags, tin foil, seasonings etc (both on camp, and during the year as it's my "self-catering/camping box" that is always stocked and has the sharp knife, corkscrew, tin opener and matches that are always needed!)
I look longingly at IcyTeks, but I only have a cheap zip up cool bag with ice blocks - that mostly works ok for the 2-3 day trips I tend to take. But it wasn't enough this year on Cub Camp with the heat (and forgetting to freeze the icebocks ahead of time! Oops).
I have a 1-ring gas stove for most cooking, a little BBQ in a travel bag (Aldi a few years ago), and a Kelly Kettle for tiny wood fire cooking. I also have a tiny stove with solid fuel tablets - really it's an emergency thing, that you'd use trekking, and smokes horribly on pots, but I tend to bring it in case I really need it as it is so small.
I also take a flask, to put spare hot water into - if I have done what I need to on a BBQ or wood fire, I will use any remaining heat to heat water and put it in a flask for later for washup, or easy cup of tea/coffee, or filling hot water bottle for bed, or not need much reheating for those purposes later.
I have a 5l (or maybe it's 10l? Certainly not massive, just enough for a small group) bottle for water. You could get one already filled from the supermarket which would do fine for a good few trips, or a proper camping/caravanning one from Halfords/similar would last longer. I also turn my headtorch to shine through it, while full of water, at night as a lantern for the tent (bright enough to see by, but not to read a book with).
My utensils are mainly:
Ikea non stick set (spatula, whisk, tongs, serving spoon)
2 sharp kitchen knives, both with covers over the blades (so safe to keep in the box)
Corkscrew, tin opener
Short handled wooden spoon
Kitchen scissors
Vegetable peeler
small chopping board
Pack of Bamboo kebab sticks (for BBQing, marshmallows, sticking things into the ground etc)
Washup brush, new J cloth, 2 tea towels, 2 hand towels, 100ml travel bottle of washup liquid (couple of laundry tablets, and handful of dishwasher tablets - these mostly for self catering rather than camping uses)
Roll of tin foil
Roll of bin bags
Matches and cigarette lighters, a couple of firelighters (for BBQ)
Handful of Ikea Ziploc bags (for marinading things, leftovers, making pancake batter for breakfast etc)
Salt and pepper mills (the glass ones with the mill in the lid that are already filled from the supermarket)
A 250ml bottle of olive oil (I refill this at home too - does the job for cooking and salad dressings)
Couple of BBQ tools and "Grandpa's fork" to put on a stick to cook sausages etc
Couple of larger bowls for mixing things and serving
Nesting pot/pan/kettle set (kettle is tiny but enough for 2 mugs of tea - I'm aiming for a larger one soon)
A fold up washing up basin (a gift - the large mixing bowl would work fine if I didn't have this)
Flask (for hot water)
Big plastic jug (for making squash to leave on the table for everyone to have plenty to drink)
Plastic French press coffee pot (I can sacrifice much for camping, but not morning coffee!)
I have the children's ikea plates and glasses for general use (plates can be used as bowls due to lip around edge). Eventually, I plan to upgrade to a decent melamine set suited to adults, but as DH is not there (he's "too old" to camp! 
), I can live with these in the meantime.
And plenty of torches. And batteries.
Playing cards, paper and pencil