Scaling Dam west end by the yacht club is worth checking out for the nature reserve and hide. Usually there's an Osprey around over summer apart from the waders. Summer Crossbills are usually in the car park, though the road from Castleton to Lockwood Beck is just as good by the camp site. Lockwood Beck is a fishery but you can wander round. They have bird feeders.
Anywhere on the Moor tops you should come across Grouse and no end of Pheasant and Grey Partridge in the grassy fields - the Whitby to Guisborough road is as good as anywhere.
Ring Ouzel breed on the Moors as well - the west edge is usually good for them - the road from Osmotherly to Hawnby near Black Hambledon hill is noted for them - also Stonechat and chance of Whinchat here.
Saltburn Woods can be quite productive as well for woodland species. I usually park at Sands End which is quite scenic and walk up the valley bottom - just so as I don't have to walk up the hill

The car park is beside Salburn pier as well.
Also in the northern area there's South Gare pier access is from Redcar - well worth a visit any time of the year.
By Guisborough there's Hutton Village with some pleasant forest walks. Also Nightjar - but it's a stiff late evening walk up to where they are.
Red Kites you'll struggle for. Harewood House are the nearest ones - a good distance away, but birds have been known to roam over the Moors.
There's a raptor view point in Dalby Forest - but viewing isn't as good as it was due to the height of the trees now.
Out of all the places I'd say Bempton Cliffs for the Gannets and Puffins and the rest is a must. Flamborough Head can be just as good for Puffins - sometimes they're on the cliff edge just a few feet away.
There are a couple of site descriptions on the Teesmouth Bird Club link in my signature below - but not very detailed.
Now if it was the north side of the River Tees you were visiting - there's no end of locations to visit!