Yes, parsnip peas sweetcorn and beans also have points
Parsnip = 2pp for a medium parsnip (90g weight)
Peas / sweetcorn = 2pp per 80g weight
Beans (i.e. butter/cannelli etc) = 1pp per 35g weight
as far as I am aware all other veg is free
All fresh fruit is free - some tinned varieties have points tho.