How to spend time together

How do normal couples spend time together?  -- Probably not stuck at the hip during the weekends, right?

So far, that's how Jay and I have spent our time together. After a week of not seeing each other, we spend weekends completely immersed with each other with zero time apart. We sleep, eat, socialize, shop, and watch TV together.

As great as it is to be full-time cuddlers, this kind of bonding doesn't allow either one of us to have weekends doing things we would usually do. For him, that might be golfing with colleagues or riding his bike at 6am.  For me, that includes shopping and taking Mr. Z. on long walks or finding ways to be outdoors.

It's a strange feeling, being really content with someone while also feeling bored with your activity together. I feel terrible to be using the word bored, but that is how I feel when we're lying on the couch for hours: watching tv show after tv show (albeit, together).  All of last year, I lived without a TV! Being in front of the boob tube all weekend feels like the biggest waste of time to me and I'd much rather be doing something interactive together like an art project or some sort of physical activity. I've even wondered if we can take a couple of hours apart from each other before coming back together. He can watch TV if he wants, but I can do something that's going to make me feel productive about my weekend and also happy?

How would I request this?
AND
How do normal couples who spend their day-to-day with each other, spend their weekends?
How do couples who have long-distance weekdays spend their weekends together? Are you obligated to do everything together?