Ok.
Re the meat free, is quorn acceptable? If so then just change what you put in the recipe to quorn rather than meat.
Re the cheese free, again is this intolerance or dislike? If intolerance you can get lacto-free cheese from bigger supermarkets. It tastes very processed though.
I am veggie and also lactose-intolerant and also a lazy cook so your rules are mostly my rules.
Suggestions for recipes:
pasta with simple sauce - tomato and basil, tomato and roast veg, broccoli and nuts, etc.
Stir-fries with cashew nuts etc to bulk them out.
Risottos - mushroom (use dried mushrooms for a better umami taste), pea and mint, etc
more complicated is various vegetable stews - ratatouille, winter vegetable stews etc - take longer but involve basically chopping veg and throwing in a single pot.
Vegetable curries - also lentil dhals - indian food generally is lacto-free and veggie indian cookbooks can be found. Can be more complicated though.
Once a week or so I will do a big cook and cook something more complicated like a veggie lasagne or moussaka or veggie cottage pie (can use soy milk etc to make it lacto-free if required) and I'll make four or five so I have them in the freezer for weekday evenings when I just can't be bothered/don't have the time.