That could be to develop a new common interest (the couple that plays together, stays together). How to get your partner to join you? Be sneaky. Say you need help in the garden, want to do minor remodeling to the bathroom, that a friend just happened to give you two tickets to whatever.
Chances are, you'll have a good time and want to do it again. Another way to spend meaningful time together is to do service projects together. Giving to others moves you out of yourself and your own problems and supports a broader, more spiritual view of life. Rekindling your spirituality or engaging in a physical activity are also good ways for you two to get closer.