I've got stacks and stacks of statements at home, because I thought I had to keep them, for tax assessment purposes, for seven years. I've just done a little research, and found that I can recycle rather a lot of that pile.
Individuals not carrying on a business who are required to complete a tax return will normally have to retain their records for at least 22 months from the end of the tax year to which they relate.
There are a couple of exceptions, which make it prudent to keep them for a bit longer. I'm going for three years, and I'll keep all my P60s too, but that'll really be a weight off my shelves!