Depends if those three conections share a link anywhere. Assuming three seperate players, each would have their own 100Mbps ethernet to the switch and from the switch to each client. Provided the switch can keep up no problem.
Now if the three "players" are three streams from a single media server then yes the single 100Mbps ethernet from server to switch wouldn't be able to cope. But I'd expect a server capable of serving three simultaneous Blu-ray streams to have gigabit ethernet, so gigabit switch and 100Mbps to clients would still be OK.