Whilst doing some research on this subject, I came across a UK company called Exact Personal Tailoring Services. They make shirts to your own style and size (you send in all your measurements - there are 11 of them, ranging from shirt length to cuff size). You can choose how many and what type of pockets, collar, etc. and can add epaulettes as well. They have cotton-poly mix for £29.95 short sleeve, £34.95 long sleeve. For the same price you can get a "sand wash silk shirt" which allegedly doesn't need ironing and is virtually uncrushable. Alternatively you can get a 100% Egyptian cotton version for £44.95 short sleeve or £49.95 long sleeve.
I haven't actually tried them myself yet, only seen the catalogue. They only do men's shirts but I guess that as you send in your measurements it doesn't matter!!
Here is the number to call: 01926 645710. They are based in Warwick.