I don't know how many years worth you may have, but I pretty sure for tax purposes you only need to keep bank statements for 7 years, so maybe that would be a good date to go with for other records as well. As far as utility records go (phone, power and such), those companies probably have fairly long records on file with them; so you may not need to keep for as long. If you are a renter, you may wish to keep rent payment records longer, just to be sure the landlord can't come back later and say you didn't pay, if there is ever a dispute.
FYI - At the end of each year, I pull all my bills and statements from my file cabinet and put them into manilla envelops (by category, grouping smaller categories to fill the envelop - financial statements seperate from all other papers) and they go into storage boxes; I have the records, but they don't fill my file cabinet. Just an idea, if you don't wish to toss everything.