I know you don't like to cook, but in order to eat healthy, a certain amount of prep and cooking is necessary, but there are shortcuts.
So start with the basics:
breakfast foods: rolled oats (not pre-packaged instant)
Eggs (I buy the Omega 3 kind)
Lean protein like Fresh, or frozen turkey sausage, lean ham slices
vegetables/fruits: fresh zuchinni, squash, green pepper, red pepper, cucumber, celery, mushrooms, green onion, spinach, avocado
(prepackaged) lettuce (dark leafy romaine, or a mix)
pre-packaged mixed veggies like Broccoli, cauliflower and carrots.
Frozen "steam in the bag" vegatable are great! I just cut open the top of the bag and add a bit of butter or seasoning and serve from the bag - no mess!
apples, bananas, oranges, strawberries, grapes
Meats: lean beef like 90/10 hamb. mt., chicken breast (frozen bagged works well), fish (salmon, tilapia, etc.) shrimp.
canned tuna, chicken breast works well for taking to work.
Deli meats (look for "natural" stay away from "smoked" - they can be used as a snack or a lunch time sandwich)
Brown rice, whole wheat bread (100% WW, lots of fiber), whole wheat tortillas (you can make a deli turkey, or ham wrap w/a couple slices deli meat, 1 LF string cheese, rolled up in a WW tortilla)
snacks and sides: LF or FF cottage cheese, FF yogurt, Nuts (almonds, walnuts, pistachios) LF string cheese, LF shredded cheeses (cheddar, mozzarella, Parmesan)
All natural Peanut Butter (less ingredients the better - look for the kind that has to be refrigerated) - you can make celery & PB sticks for a snack or sliced apple or banana w/PB - yumm!
As far as cooking goes - you could buy some of those disposable aluminum pans for baking. Keep things simple - slice up some zuchinni on a aluminum baking pan - top it with some seasonings (garlic pepper, etc.) drizzle some FF Italian dressing or Sun Dried tomato and Basil (my favorite) then sprinkle on some grated parmesan cheese and bake it at 400 degrees for about 15 minutes. You can bake fish, chicken using the same basic recipe. It's easy and quick.
I'm sure there is alot I'm missing, but maybe that will give you an idea or starting point for your shopping list.
Just remember to buy as much fresh, natural items as possible, staying away from pre-processed packaged food.
Good luck! Oh, there are alot of great recipes right here on the forums and on the Shapefit page too.