I use organic dried poultry manure - we buy it in 7.5KG tubs for about 5 pounds. A little goes a long way. It's great for leafy veg like spinach and lettuce. Carrots and beetroot grow better without fertiliser - otherwise you get lots of leafy tops but small carrots or beetroot.
Tomatoes, courgettes, cucumbers, & peppers all need far more potassium to make their 'fruits' than is normally available from the compost or poultry manure (which is high in nitrogen); I therefore do use liquid tomato food on them as I found that I had zillions of flowers but no tomatoes. It's only when I started to use the feed that I got a decent crop of tomatoes. (I hope to buy an organic liquid tomato feed one next year, which you can get.)
Iron phosphate slug bait is certified organic; it kills the slugs but is harmless to pets and wildlife.
At the moment mine are eating:
Pea pods, which they love (we're massive fans of peas in this house)
Carrot tops
Beetroot tops
Pea plants (when they've finished producing)
Spinach (that's gone to seed)
Cabbage (occasionally)
Soon they'll be eating the above, plus:
Sweetcorn leaves and silks.
Plus the usual weeds which always seem to be growing in the vegetable patch, and those that are in the lawn (which they're on all day every day, except in winter).