I started writing this earlier tonight so it's probably been all covered now.
There's a few charity shops in Saltburn. There's a leisure centre too if you wanted a swim/gym. As well as the beach and sea front prom.
In Skelton there is mini golf called Holey Molies, it has a bar and does food too.
Ironstone mining museum in Skinningrove and there is also a bar that does nice food next door called Kaskane (it's closed on Sundays, you might want to make a booking too as it's often busy). Skinningrove also has a nice beach.
Staithes is a fishing village with a nice bay
Whitby will be busy, it has plenty of charity shops and independent shops. There's the Dracula experience, Whitby abbey, arcades, plenty of fish and chips!
There is Kirkleathem museum and there is also an Owl Centre there too.
Redcar has some arcades, long beach, charity shops, there is a car boot there too at the race course. There's also a lifeboat museum. Pacittos is the ice cream shop which is very popular.
If anyone likes football you could probably do a tour of the Riverside Stadium
There's loads of walking routes, Roseberry Topping is popular.
Ormesby Hall is National Trust
Pickering further out but has steam trains