Yes, you can add a range of extras to a third-party policy:
Breakdown cover – if you break down, this could get you back on the road with roadside assistance.
Personal accident cover – this allows you to claim for compensation if you or your passenger are killed or seriously injured in a car accident.
Motor legal protection – this could cover legal fees, if you’re involved in an accident and a claim has been made against you.
No-claims discount protection – if you’ve already built up a decent discount, you should think about protecting it with this extra.
Courtesy car cover – if your car has to go in for repairs, this will provide you with a temporary car to keep you going while yours is repaired (subject to availability).