I know many marriages that do, in nearly all cases they are "mature" marriages (30-50 years into them) and they are good/ strong/ happy marriages so much love and happiness in them that the sex is not an issue. I can't say if it ever was. But having few boundaries, these are things that I've had conversations about, and both partners just don't need sex for their marriage to be good/ strong/ loving/ happy. These are both family members, friends, and women I've worked with. LOL... I got LAUGHED at the first work-conversation about no-sex-marriages. Apparently the look on my face should have been photographed and framed. And then they just said "Don't worry. You're young."
(Ummm... that didn't make me feel any better. That made me highly nervous. Because I was old enough by then to not have the "It could never happen to me!" attitude when people talk about getting older. My dad doesn't say "F-you" when he's really angry with someone... but one of his FAVS is "May your legs grow together." Yikes. That's a swear I can get behind. Fortunately for my own self interest I also know a lot of sexually active people in their 70's and up.)
I also know a few young couples that neither are just that into sex. They're not exactly asexual (as far as sexual identity is concerned), but they're just not that into it. Sex isn't an expression of love for them, it's not something either really enjoy, but they reeeeeally love each other and their families.
I also know a few couples who one or either partner had a medical condition that stomped on the hormones and neurotransmitters that made sex any different from sticking your finger in someone else's nose. Some of them have recieved treatment and now have normal sex lives, some of them haven't. In all cases the couple involved have "worked something out". Sometimes that means they're both absitnent. Sometimes that means one partner has sex outside the marriage (with the other person's blessing).
((These are all "good" marriages, I'm talking about, to remind. There are far more I know of where when sex becomes a major issue the marriage fails.))
I quit having sex with my husband about 18 months ago. Due to his increasing violence and temper and disrespect to both my child and myself... I couldn't stomach it. I had lost all respect for him. Which is huge for me, since I'd had sex almost daily for 9 years at that point. Come to find I can have all kinds of sex (angry sex, make up sex, just 'cause, expression of love, for stress release, sport, whathaveyou)... but I CANNOT have sex when I'm sad, or have lost all respect for my lover.
I didn't say "I will never have sex again." I DID say "The muffin shop is CLOSED until some things change in our marriage. Until we can become friends again."
Happy dance (although not for my sex life, at this point I may never :sniff: have sex again :( )... I filed for divorce last week... because UNhappily nothing changed.