Do all youth sports start at obscene times on weekends? Asking for a friend without kids (yet).
Just depends, really. Personally speaking, I prefer having my games at 9am on Saturday morning so I can get them out of the way and enjoy a full day of college football. If I can get them all scheduled before noon, I'm a happy camper. I hate sitting around waiting for them.
Also, if you are thinking about coaching, consider joining the board of your local rec league, especially if the board has its monthly meetings at a pub. On top of the free beers, you tend to get preferential treatment with regards to your roster of players, practice location and times and game schedule.

as to the coaching recommendation. I can't see myself ever doing that, but if so I will bear that in mind.
So, do any of these leagues start at, say, noon on Saturday? I can always DVR any sports, and am not a college football fan either (in fact, I'm surprisingly losing interest in college basketball).
What age are we talking about? What sport? What level?
From my experience, rec soccer is the easiest from a time commitment/scheduling standpoint. You have 1-2 practices a week that last 60-90 minutes and a game on Saturday. I'd say 90% of these games are played before 1pm on Saturday. I like morning games for the reasons cited above and have some influence as to my game schedule. If you are a parent and not a coach, well...you're at the mercy of the league scheduler.
Sundays are for competitive soccer. That's a whole nother animal and one I'm never touching. Far more expensive, far more travel required, far more draining on the kids. I've had a few players on my rec team move on to classic/select soccer and come back to me. Uniforms alone can run you $300-$400. It's absurd. Total racket, IMO.
Basketball is generally pretty easy too. Most of my son's games are 11am on Saturdays. Perfect.
Baseball? Oh boy...unless you or your child LOVES baseball, I would strongly advise against this. Little League coaches and boards are SERIOUS business when it comes to grade school baseball. Practices several times a week, games that go on forever and if you live in a climate like I do, night games in the spring can be brutal with rain and cold. One of my happiest days was when Cooper asked if he could quit baseball in 5th grade. Glad we did it, glad I helped coach, but it can be a grind.