What kind of tickets? Airline tickets - it depends on the airline. Park tickets - you can save them for next time. Tickets for a specific event - I think you are stuck.
A little more information on your situation will get you a better answer.
Disney Park Tickets are usually not refundable. However, the "clock" for expiration does not start until the first time they are run through a Park turnstile. So just keep them in a safe place (and remember where you keep them) and use them for your next trip.
Most "event" tickets are non-refundable, airline tickets are usually subject to a change fee and are non-refundable (assuming purchasing non-refundable tickets), other tickets, vary.
They're hardcore on the non-refundable event tickets. My grandparents and aunt & uncle planned a trip and bought MVMCP tickets. My uncle died like a month before the trip, so needless to say it was cancelled. Disney would not refund the MVMCP tickets even though he had DIED.
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