Check this link out. I have this projector for sale. It's a Sony VPL CX75.
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&ssPageName=STRK:MESELX:IT&item=200234436131
Thanks,
csejn
Most of the projectors work in the range of 100-240v. It also shows that in the specs on the site. So, it should work fine in UK. Confirm it with Sony/Dealer before you order. It also supports PAL and NTSC.
http://www.bhphotovideo.com/bnh/controller/home?A=details&kw=SOVPLCX75&is=REG&Q=&O=productlist&sku=334728
BTW: From what I have read so far, there is no projector that you can use in daylight. Most of the projectors require you to control the ambient light "in the room".