Had a few daft cars in the past but most are now way north of that budget, including a FD3S RX7 that cost me bang on £5k about 10 years ago 🙁
Still in budget that I have experience of would be:
EP3 Type R – absolute hoot of a car to drive whilst still being reasonably practical
MX5 mk1 – classic, reliable soft-top RWD motoring, lots of fun but pretty basic inside
MR2 mk2 – really, really well put together car, handled great, surprisingly useful boot, you’ll only get a n/a for your budget but still well worth a look
RX8 – bonkers engine in a good way. The horror stories are almost entirely from people who bought and expected to be able to treat them like their previous 4cyl rep-mobile. Look after them and they’re amazing cars.
And my current ‘toy’ car – Mk1 TT 225 Quattro. Probably the nicest place to sit of all the cars I’ve owned. Pretty quick even by today’s standards. Drives nice, looks good from almost all angles, potentially a future classic.
On the other hand, £5k would get you through your A1 bike license and set you up with decent protective gear and pretty much any early 2000s bike of your choice.