for a budgie id say small chopped fruits (dehydrated granny smith apples are usually a fave with all parakeet species) millet spray, broccoli and cauliflower also are great helthy treats.
budgies can eat pretty much anyhting HEALTHY we can eat, dark and vivid colored fruits and veggies, grains and pellets.
a nice gift basket addition for a budgie would be mabe a natural branch or rope perch (manzanita, java wood, grape vine for woods) mabe a cool puzzle toy, some diced dried/dehydrated fruits or a bag of millet spray
small cat toys are also a favorite of many, those plastic balls with little bells in, those paper chinese fingertraps or anythign shredable are faves of keets.
because birds can be incredibly picky about food stuffs it might be fun to get him a toy rather tha a food treat