If you are into motor racing, Thruxton circuit in north Hampshire holds their Historic race weekend on 17th/18th June
https://thruxtonracing.co.uk/racing/historicAnd if you make it as far as Beaulieu in southern Hampshire (about an hour's drive from Thruxton), the National Motor Museum is brilliant and they also regularly hold motoring events. Their calendar for June 2022 shows:
Sunday 18th June, The Custom & American Show (that would be ironic !) "Custom fans and American car enthusiasts will be making a bee-line for Beaulieu on Father’s Day, for this colourful celebration of eye-catching cars and bikes"
and Sunday 25th June, Simply Jaguar "Classic and modern Jaguars will be taking their places in this impressive display"