Here is a more complete list from NWFs Field Guide to Birds of North America. These are all birds that are known to inhabit or visit Oklahoma. Oklahoma is on the edge of some birds range.
Red-Tailed Hawk: 22" long, 50" wingspan. All habitats in NA. Feeds on birds, snakes and rodents.
Red-Shouldered Hawk: 17" long, 40" wingspan. Woodlands near water. Feeds on birds, snakes and rodents.
Swainson's Hawk: 21" long, 52" wingspan. Grasslands and prairies. Feeds on insects and rodents.
Cooper's Hawk: 17" long, 33" wingspan. Forest. Feed on small birds, expert at attacking bird feeders.
Sharp-Shinned Hawk: 12" long, 24" wingspan. Forest. Smaller version of Cooper's Hawk.
Broad-Winged Hawk: 15" long, 35" wingspan. Woodlands near water. Feeds on birds.
Northern Harrier: 20" long, 42" wingspan. Found in prairies, farm fields, and open marshes. Expert mousers.
Mississippi Kite: 14 1/2" long, 35" wingspan. Found in prairies and farm fields. Feeds on large flying insects like dragonflies.
American Kestrel: 10 1/2" tall, 23" wingspan. Open habitats with plentiful perches. This bird is brightly colored with salmon, blue and rust red feathers and is sure to mistaken for a large songbird. Feeds on snakes, birds, bats, insects and rodents.
Merlin: 12" long, 25" wingspan. Found in forests and urban areas. Feed on birds and insects. Like small falcon.
Peregrine Falcon: 18" long, 40" wingspan. All habitats in NA. Feed on birds. Falcons have been clocked as fast as 180 mph in dives after prey. Have been known to attack and kill other birds of prey to defend territories.
Prairie Falcon: 17 1/2" long, 39" wingspan. Grasslands. Feed on birds and rodents.
Migratories to Oklahoma...
Bald Eagle: migratory in winter from Great Lakes, 34" tall, 80" wingspan. Found at lakes and rivers during winter. Feeds on fish and waterfowl.
Osprey: migratory in fall and spring from Great Lakes on way to Gulf of Mexico, 23" long, 64" wingspan. Found at lakes and rivers. Feeds on fish. Indians called them fish-eagles.
Rough-Legged Hawk: migratory in winter from Canada, 21" long, 53" wingspan. Feeds on rodents.
All of these birds do and have made Tulsa's urban forest their home. Our abundance of trees, snakes, rodents and fish make eastern Oklahoma a very easy place for any of these apex predators to find a home.