Yes, that is a very popular size. Blackcircles have Goodyear Eagle F1 Assymetric 2s available in that size for about £115 each at the moment. These will be my choice of tyre for my car in a couple of months (same size too).
Although it's been mentioned that the recommended change point is 3mm, the reason is that below this as the tread depth approaches the legal min of 1.6, the wet performance drops of markedly and the danger of aquaplaning increases as the tyres ability to shift water falls off.
New tyres usually start off with about 8mm tread, so you have 5 to 6.4 useable tread depth.
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