The thing about reflux is that you will have to figure out where your triggers are and what makes it worse. For me, for example, eating beef AND carbs was, for a long time, a no no. Plate of fries? Fine. Steak? Fine. But Steak frites? NOT fine. So you'll need to do a little experimenting to see how you feel. It's worth getting proper nutritional advice - the generic NHS advice is a bit black and white.
Also, portion control and quantity were always v important. Eating small amounts regularly, generally was better than a large meal.
Tomato and other acidic fruit and veg seems to be a marmite one - some nutritionists recommend eating them and some don't. I can't remember the reasoning but it made sense and I don't recall ever being someone who suffered with things like lemon - which I love but I did limit tomatoes a bit - a big tomatoey sauce could make things worse, yes. Apples and pears were very helpful for me and made me feel better.
Cheese - I stopped eating all cows milk cheese for a few years but found sheep/goats milk cheese didn't bother me. One of my favourite memories from that time when things were still really bad is a glorious meal out at a fancy french restaurant that ended with a full cheese board and I was able to tuck in with abandon as so much of it was sheep or goat!
On a day to day basis, carbs like rice definitely the best option. Pasta in small amounts. Potatoes, up to a point - be careful with portion control. Weirdly, I found crappy white bread better for me than good quality bread -I think because harder to digest food activated the acid production.
As a vegetarian, what about things like stuffed butternut or mushrooms? You could try a risotto but limit the cheese (and/or stick to non-cow cheese in small amounts if that works for you).
I have always found salads really good for my digestion and I eat them in all kinds of ways. Again, you can experiment to see if, for example, you can tolerate small amounts of acidic foods balanced by the rest of the ingredients.