In football, you have about 35-45 seconds between the end of one play and the start of the next at the college level and around 30-35 at the pro level. In baseball, you have time between pitches. In basketball, the refs can stop play and choose to go to the monitor to review a 3 pointer if the shot went in.
The clock never stops in soccer, even for injuries, and the officials are simply in charge of keeping up with a guess of the amount of stoppage time to add on at the end. Would you stop the clock for a replay? Would someone from a review booth send down a signal and stop play in the middle of the action? Take the two calls in question from the other day, the offsides goal by Argentina and the goal/non-goal by England. They could replay the Argentina call and send down a signal because play was stopped for the goal celebration. What about the England game? Germany already had the ball and was clearing it out. What if it was a quick clear like in the US-Algeria game that was going to lead to a goal on the other end? Would you stop play in the middle of the action? No, you couldn't do that.
Soccer isn't built for replay to be a viable option in most cases, and you'd have to amend the stoppage time rule in some fashion to accomodate it.