I think the current shaky cam trend started with Saving Private Ryan. The excessive use of lens flares, I'm not sure.
Spielberg was/is bad for it too.
Thinking back, I think shaky cam really got going on TV decades ago with Hill Street Blues
being one of the first to use it, then other cop shows picked it up because of its supposed to supply a "gritty" and "realistic" look and feel to what's going on.
I can take a few judiciously placed lens flares (the only one in STID that really bothered me was the one that briefly entirely covered Carol Marcus's face on the bridge of the Enterprise as she was talking to her dad), but I've never really been a fan of the shaky cam.