Originally Posted by cuffslurp
Hmm ... do you mean that you can actually see what the cards were? Or just that the player mucked his cards?
Yes. Most do, Bodog being a notable exception. There is a "Last Hand" button or link on most of the sites and I suggest you use it liberally. Unfortunately it only only shows the others hand when the hand went to showdown, but there is a lot of information there, not just for the hands you were involved in, but all hands.
FWIW, take notes
(usually accessed by right clicking on the player. You either get a popup; i.e. UBNet, Carbon/Walker, FullTilt, AP; or it switches the "chat"window to "Note" with the players handle; i.e. Cake, Pokerstars). Full tilt lets you assign a color to player and I think everybody has their own system for this. Seeing the color will let you know you've played this person before and there may be notes on them.
As far as the completly erratic players go they are either complete donks who have watched too much poker on TV and think they're Gus Hanson or, worse yet, savvy players who are deliberately mixing up their play to KEEP you confused. Sorting that out takes time which you may or may not have, but if you start out tight you get a lot more chances to figure this out.
And, FWIW, the fact that you are asking questions and actually thinking about the game would lead me to believe that your "donkeydom", if it even exists, will probably be short-lived.