My nightmare-to-feed DD2 (17 months) will reliably eat lentil soup (I always add plenty of celery and carrot to it, plus potato, and a pinch of cumin for flavour, and I stir in lots of grated cheese at the end) and yellow-split-pea soup (again, with celery, carrot and cumin). I don't bother to blend them, so they are pretty easy to do - if I make a decent amount, it re-heats nicely to cover several meals over a week or so. She also likes leek and potato soup. (I promise I don't feed her entirely on soup!)
And both my DDs LOVE tomato pasta, which as other posters have said you can cunningly add finely-sliced veg to - mine are keen on courgette and/or red pepper. For instant meals, my DDs are both fans of pesto - I mix it with rice sometimes as a change from pasta. (NB I don't cook rice specially for such a thing - but if we have leftover rice, rice 'n' pesto is one of my fallbacks on days when I need to feed them instantly. With plenty of grated parmesan.)
Another good use for leftover rice is egg-fried rice and vegetables (especially as your DD likes egg - as mine does). I just heat some oil and butter, stir-fry some chopped veg (again I often do courgette or red pepper, and often broccoli or peas), add a beaten egg and bash it around til it's cooked, then mix in the cooked rice with a little water, stock or soy-sauce. (I know the latter is salty, but I think a little is OK, and my DDs like it very much - and good point!)
On the theme of veg and eggs, how about veggie-scramble - chop a selection of veg, saute in butter, then add the eggs and proceed as normal for scrambled egg. I always stir in plenty of grated cheese at the end. (My DDs seem to share my view that there are few things that can't be improved with the addition of grated cheese.)