I agree with a PP's take on Bridlington. There's lots to do although it is smaller than Scarborough. Sewerby Hall is nice, 2 good play areas suitable for toddlers up to teens and the zoo is nice too.
Candy Kingdom is inside the John Bull rock and sweet factory, which you can go round on toours and had a good factory shop.
We also recommend the birds or prey and animal park (also in Carnaby like Candy Kingdom). The birds of prey display was excellent, you could see the man taking it really cared about the birds, and we got to cuddle some adorable guinea pigs.
From Brid, you could have a day trip out to York, about an hour away, which has loads to see, or a trip to the county town of Beverley, or a trip to Hull. The Deep aquarium there is excellent.
The cliffs at Flamborough are beautiful, and the RSPB reserve at Bempton is also worth a visit.
Brid itself has quite a good leisure centre, with clip and climb walls and a pool with a couple of good, long water slides plus a toddler area and slide.
There is also a big cafe/bar on the front called Jeromes with an indoor play area. I haven't been for a few years but my DC used to enjoy it.