5th anniversary Wood Gifts. The 5th anniversary celebrates the couple’s strong, deep roots, like the venerable oak tree and they are gaining insight and understanding from the first five years of marriage. Celebrating your fifth anniversary should be full of love, not panicking over last minute gift ideas, so to ensure that you never forget any of your future anniversaries, why not sign up to our free anniversary reminder service? Let MyGiftGenie help out with our range of 5th anniversary gifts that will last as long as the memories that inspired them.