The village has one of the long greens typical of County Durham.
The oldest parts of the Church of England parish church of St Mary are Anglo-Saxon, built in the 10th or 11th century. The church contains monuments including effigies of members of the Neville family.
Raby Castle and its gardens are to the north of Staindrop. The village has a Spar shop and a post office.
About 3 miles (5 km) north-west of the village is Raby Old Lodge, a medieval tower house built probably for the Neville family of Raby Castle. It was restored in the 19th century and now used as holiday accommodation.
The village has a number of locally owned businesses including a local newsagent, the Cutting Room and a tea shop. It has a small industrial estate that is used by mainly local businesses such as joiners and plumbers.
Staindrop has two schools: Staindrop Church of England Primary School and Staindrop School (secondary). It has one pub, the Wheatsheaf Inn, which villagers commonly refer to as the "Top House".
The surveyor Jeremiah Dixon, who with Charles Mason calculated and laid out the Mason–Dixon line in North America, is buried in Staindrop. His unmarked grave is in the Quaker burial ground adjoining the old Friends' Meeting House. Thomas Pynchon's historical fiction novel Mason & Dixon mentions Staindrop as containing Jeremiah Dixon's favourite public house.