Proficient at basic gymnastic skills (rings and tumbling, specifically)
Proficient at basic parkour (It just looks awesome)
Ability to hit and kick really hard in my martial arts classes (It's technique to a point, then it's muscle.)
Capability to out-muscle my grappling opponent, when I can't out-skill them (This is muscle to make up for a lack of technique. Yes, I'll be that guy.)
I'd like to learn to rock climb, but my grip strength is currently terrible. My upper body strength isn't all that great for the gymnastics and parkour stuff I'd like to learn. When I get the strength to do those movements, I'll probably need more to do them a little cleaner, or a little farther. I don't really see a limit to the effectiveness of more strength, for my list of things to do. I see the climbers doing one-finger pullups, or the parkour guys flying through the air from their leg speed and strength. I watch little kid gymnasts doing inverted work that I can only dream of at the moment... I'm not focusing on squats at the moment, but they help with both leg and core strength, which is necessary for all the things I want to do.
I feel like squatting bodyweight (or a little more) is about equivalent to doing a pistol squat in terms of strength, but the pistol requires more skill and finesse, and doesn't force the stabilization of your abdominals and back muscles. Yes, I could get a lot of benefits from just doing deadlifts, but since my grip is holding me back, I can do much higher volume with squats right now than deadlifts.
I'm going to stop rambling now.