On our site birds, mainly pigeons, eat:
All members of the brassica family, cabbage, kale, psb, turnip and swede leaves
Peas
Spinach and leaf beet
Beetroot
All soft fruit - blackcurrants, strawberries, raspberries, gooseberries, redcurrants, blueberries, cherries.
Rats eat the grapes in our polytunnel.
The only things I don't net are onions (although they occasionally peck at them), garlic, leeks, potaroes, courgettes and beans.