Subject isolation : Profile shots avoid clutter, keep it simple. Long tele lens gives you shallow depth of field.
Flowers and leaves enhance the frame of this Sunbird.
Though the background looks completely camouflaged, it is not distracting in this Tiger shot.
Wait for birds to sit on a natural perch. When birds are perched on wires birds you can shoot just for documentation. Avoid keeping your subject dead center, off center works very well, unless the subject is looking straight to the camera.
Peregrine falcon (Falco peregrinus), I composed in the center, as it was looking straight into the camera.
Leave some space in front and top of the subject. Don't keem them in tight frame.
When shooting birds, try to catch light in the eyes.
Don't cut any main part of the subject. Head turn is important in bird photography. Try to get eye contact.
Background makes a difference, try to get green background for the birds. Try different points of view to get the best background.
If the sky is blue then it is fine, avoid feature less sky.
Try different perspectives, use different focal lengths of your lens.
Elephant herd at Dhikala, Corbett National park, taken with 70mm focal length
Same herd taken with close up 200mm focal length.
Try to capture them with natural framing.
These are some basic composition tips. Framing is subjective, so try to get out of box composition, and try your own style of framing.
Experiment a lot, enjoy making the images.