Sorry Andy but £200 isn't going to get you much. If you stretch it a bit and get lucky you might find a 2nd hand Tamron 28-75 or suitably old Sigma equivalent.
For most sports, I would assume that you need longer lenses - in which case the 55-m250mm IS lens from Canon could fit the bill. However, the autofocus is not in the realm of USM fast - so I guess it depends on the sport.
I bought a Sigma 28-300 for the same reason, on good days you can say its nice, but unfortunately you can't say much more then that.
You'll get some okay photos, but thats all they will be - ok and not fantastic. It lacks when extended more then 2/3rds and the af is incredibly noisy, slow and hunts a lot.
But that said, you can pick them up v cheap - and you might be lucky enough to get one of the later OS ones in the budget.