Edited:
I think the correct answer is:
you say
"HW comes on with the heating with this controller" which sounds like it is set to HW Gravity. It may have a switch to set it to "HW Pumped" (assuming that is what you have got) which will make HW and CH independently switchable. On the BG controller IIRC there is a switch on the back (when you take the programmer off its backplate by undoing the pinch screw underneath). This depends on you having at least a Cylinder Stat, and preferably also a motorised valve to turn the HW circulation and boiler on and off. If you do not have a motorised valve it can be done, but is a non-standard circuit since it does not meet energy-saving standards.
My original answer is probably giving a more complex solution than you need, but here it is anyway...
If you email the makers of your new programmer, and tell them what the old one was, they will very likely have a conversion chart that shows you how to install the new programmer on your old wiring.
ACL/Drayton certainly provide such charts (the BG one is just an ACL/Drayton SM2 with a BG badge on it so maybe you could tell then you are changing "from" the other one if not?)
It might have been a bit easier to change to a ACL Drayton (Invensys) Lifestyle programmer such as an LP722 since they fit on the same backplate you already have, and will need minimal or no wiring changes.
http://www.draytoncontrols.co.uk/TimeControls.aspx
don't get the LPSi which is designed to stop working properly when the date comes for a service
If you find the wiring a bit fiddly, you can buy a "wiring centre" for a few pounds (it is just a glorified junction box really but has terminals for the boiler, pump, motorised valves, thermostats and everything so it is easy to see what you are doing)
I am a householder not a pro
BTW the old analogue programmer is in demand among elderly or technophobe householders, as it is so easy to understand and and intuitive to set. I fitted an SM2 for my old mum to replace her digital LP722 which she couldn't set. It was easy.