I'm going to be the first to disagree to this idea.

I currently use the log to see when my character blocks/parrys/evades but I also use it for things like dodging Ifrit's Incinerate or Moogles Pom-Flares/Mognesia, things like that. If they made it so blocks and such showed up on players characters or had the skills light up when ready, it would just force people to be lazy and not even use chat filters or the logs to see enemy/party abilities activate, which I would say isn't a good thing.