We've got back that far on one side, and early 1700s on the other.
The most important thing is to get as much information from family to start with which should (hopefully) help back to great-grandparents. From there you can use parish records (births, deaths, burials and marriages). For example, if your family is from Newbury, Newbury Town Council hold the registers for burials in Newtown and Shaw Cemeteries. There's a lot of information to be had from a headstone! If the person was married, then often their spouse will be with them, giving names, etc. Also, you can ppick up clues from things like "Loving father of three" and that sort of stuff. Then it's back to the records office to ask for marriage certificates and the like.
http://www.direct.gov.uk/en/Diol1/DoItOnline/DG_4017640These do cost, but are very helpful, listing their parents' names and the like.
Census files are crucial to tracking folk - again, there are costs, but hey....not much in life is free!
Military records are also useful
Be careful about surname spellings the further back you go. Surnames were often misheard or spelt as the census records were taken!
There will be a couple of times you hit a brick wall, and have to dig a little harder and deeper.
Happy to go on.....