I've experienced this too.
No jumping loops yet, but I will stand there and lol at it if I see it. It sounds funny!
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When I die on a regular battle I consider it a glitch.
Sometimes when I use blitz as Light, some enemies in range won't get hit. Happens real rarely, but it's enemies that I know for a fact are in range.
So I'm battling a Behemoth King who is also in a fight with one of those giant lion-like things, and I'm wailing on the Behemoth King while he's distracted 'cause I smurfing hate those guys.
Battle camera's swinging me around, I go to hit the dude, it swings me around behind the lion-thing... and takes me right up his butt to zoom in on the BK. Lion-thing, congrats, you do not have prostate cancer. Lawl
Not really a glitch at all, but in some areas with lots of jumping the AI get really confused and jumps back and forth if you don't move.
I think the biggest "glitch" I found is the fact that when you go to save, it defaults to "New File" instead of overwriting your previous ones. I had about six save files before I realized it. -.-
Yea I think that's like a system default setting or game setting but I noticed that when I saved to it's not that big. READ THIS: also post any known cheats just as a sub cag. Like code hacks or AR, or rescripting or ANYTHING!
Mine is on the PS3 as well it and also default to a "New Save File". It's annoying, but it would be more annoying if it defaulted me to save over a file I didn't want to.
I've noticed that my controller seems to time out for ~10 seconds every half dozen hours. I would normally assume this is a PS3 issue, but it only happens in FFXIII. It hasn't affected anything important other than passing annoyance, but I'm just waiting to flip out when it happens during something important.
I noticed the flying enemies in Taejin's Tower (Zalconia or something like that) sometimes have a hard time attacking you, they keep swooping and missing, and have ended up inside the floor a couple of times.