The original O2 Wireless Box (available to new O2 customers from 2006, now discontinued) was a rebadged Thomson SpeedTouch 780WL.

The O2 Wireless Box II (available to new O2 customers from 2008) is a rebadged Thomson SpeedTouch TG585v7, and supports Interface type 802.11b/g.

[1] Unlike the original Thomson TG585v7, it does not allow changing the ADSL username and password, so it cannot be used to connect to any other service provider.

The O2 Wireless Box IV (available to new "O2 Premium" customers during 2010) is a rebadged Thomson SpeedTouch TG587nv2, which has additional support for 802.11n, dual antennas, and also has two USB ports for connection to an external USB hard disk for sharing of files direct to the wifi or Ethernet network, or printer sharing.

[1] The O2 Wireless Box V (the new "standard" router) is a rebadged Thomson SpeedTouch TG582n.