Black Country Museum is excellent. Birmingham City Centre is good too. All of the Ironbridge and Bliss Hill complexes are good, near there is the RAF museum at Cosford, Kinver Caves, not too far from the Black Country is great to visit. The Great Central Railway between Loughborough and Leicester is excellent, but go on a weekend when they have more trains running, you can then get off at each intermediate station to go back and forth on different trains. Severn Valley Railway also. Matlock is worth a visit, though it’s small, but just up the road is the great walk over High Tor on the Giddy Edge path, its a big drop down, but relatively safe, start in Matlock, walk through the park,go over the top and end up at Matlock Bath station, thrilled with the views, and making it down safely, walk a bit further into Matlock Bath for the full on seaside experience, beside the Derwent.