I had many years with GEM, mentioned above, they are also worth considering. The cover is excellent, and they get good reviews. They do a 'pay & reclaim' service, as well as the usual service where the company is billed directly, for a premium.
Don't overlook the 'pay & reclaim' service, it's a bit cheaper, and it can be very useful indeed when you break down locally and prefer to organise your own recovery with a local garage - GEM will reimburse you so long as they are VAT registered. If you are really stuck and have no method of payment on you, the call centre can send a recovery operator that will invoice you for payment later.
Also, there are a few things to watch out when choosing a cheap recovery policy. Some companies now have vehicle age restrictions, I've seen 10 years limit on a few, and 5 years on one policy. Some limit the number of callouts in a year. There is another company that was offering a very basic cover for around 」20 through Groupon, but they don't even cover flat batteries if you admit you left lights on, etc. - they class it as self inflicted and bill you for the recovery!
The main reason I switched to Autoaid was the price, GEM prices crept up over the years, and 」60 for Autoaid full personal cover for a couple takes some beating.