What are your thoughts on inviting your CSM to a sporting event?

I would say yes very much so. Due to the fact that perception is all that matters. And if someone sees you do this then you get a good tasking even if you deserve it. They can cry fowl and it could turn into a mess. My wife watch day senior chief kids while he was on travel. He live far enough away it was easier to stay there. It was innocent and next thing I know it turned into some crap. I'm glad I had a Good LT who helped squashed it and showed no favoritism was ever shown in any manner.

A single game? I can't see why not!

TIA !!!

Stay in your lane, hang with your level of rank.

Meeting someone of a higher rank than me through channels outside of the Army, having nothing to do with work, and genuinely getting along as friends is one thing.

Hanging out with my own CSM, no matter the earnesty behind your intentions, no, don't go there.

He has 1SGs and other SGMs, you have SGTs and SSGs. Be smart.

No, no, no.... that would be fraternizing. If you can't take your entire squad/shop/platoon/company to the event, then inviting your CSM would be totally inappropriate. Invite one of your battle buddies instead.

SGT Warford, while my initial thought was "if he is in your chain of command, that constitutes fraternization," but upon further inspection, this AR seems to OK it:

AR 600-20 paragraph 4-14c(3)(d)
These prohibitions [of fraternization] are not intended to preclude unit based normal team building or activity based on interaction which occurs in the context of community based, religious, or fraternal associations such as scouting, youth or adult sports leagues or teams; membership in organizations such as the Masons or Elks; religious activities including chapel, church, synagogue, mosque, or religious education; Family gatherings; unit-based social functions; or athletic events."

Anyone have anything to add on this?

I had a similar type of situation. I just handed it to him, and said that I was going to be there for the event and if he would like, he could use this extra one. But there were several factors I also considered. 1. He was single, 2. I let others know about what I did (chain of command) 3. Gave him the option of using it or not. I made sure there was no "buddying up" occurring. He did go, We did not buy each other anything (beer, food, etc) I still gave him the respect of his position and we called it a night. Monday I told my peers what went on there at the event, and I don't believe anyone saw it as fraternizing, but my troops knew me and the type of character I have.

If you have to ask if it's appropriate, then it probably isnt. I understand there could be a friendly relationship between the CSM and several of his subordinates. However, if you were to get ANY form of preferential treatment. It would undermine the chain of command and possibly the mission. So no, it is not a good idea.
If, on the other hand, the whole unit went in and bought the CSM a ticket or two, the favoritism goes out of it.