... and so do Dremel. BUT the "best" bits are the 4.8 mm shaft bits that they produced for the Dremel Trio which I believe is now discontinued. That range is limited (IF you can still find them) but with straight, roundover, upcut and 45 degree bits there's enough for most small work and although they are HSS not TC, and have a fixed pilot tip rather than a bearing, they are not bad, and cheaper than Proxon (in Switzerland anyway, I cant speak about UK).
4.8 mm is a silly size (IMHO anyway) and NOT compatible with their range of bits to fit the "standard" Dremel drill tools - note you can buy a "not too bad" attachment for the Dremel drills to turn them into a sort of "mini plunge router".
Please also note that at least one member here has had a lot of trouble with Dremel, to the extent that he wrote "never again", but personally I have several Dremel tools with no problems at all. Proxon is IMO generally a better tool than Dremel, but as above, more expensive.
HTH
AES