Most towns offer similar facilities to London, but my eldest brother lives right out in the sticks with his kids and they have quite a different existence to the one you might be used to OP.
I live in a big city (not London) and my niece and nephew have quite a few weekends a year visiting me and doing things they don’t often get the chance to do, like trampoline parks, big swimming pools, zoo, ice skating, concerts, different takeaways, restaurants, and cinema. The kids do however spend their free time surfing, paddle boarding, sailing, riding horses, riding bikes, camping and have lots of independence.
They have to drive quite far before they get to a train station, so public transport isn’t the best. They are regularly cut off by bad weather, have less choice of products in local shops and sometimes find it hard to get deliveries of certain items.
I guess it depends how rural you plan to go?