There are many companies who will sell you an E1 although most will be resellers as opposed to network operators. You are correct that it is a fully sychronous connection and has no contention.
The biggest issue will be cost. a lot of suppliers are moving away from supplying E1's as they require a lot of often legacy hardware and it is far cheaper to supply ethernet based products.An E1 requires dedicated CPE and router whereas an ethernet product can connect directly to a switch or firewall.
You may be better opting for a LES10 from BT or an alternative like COLT as this may be cheaper and cost effective long term.The other decisive factor is the office location. If you are in a major city then you will have more choice and better pricing. In London there are dozens of suppliers for example such as C&W,MCI,Cogent,COLT and of course BT.
Oh and E1= 2mb and T1 (US equivalant) is 1.5mb