Baseball (for the most part) has always made an attempt to remain more connected to its history and tradition. I went to a Blues game once last year as an office Christmas function (it's hockey, not football, I know, but bear with me) and it was like being at a rock concert and laser-light show. The Superbowl (which I HAVE watched when the Rams haven't sucked) may as WELL be a rock concert.

And of the things that need fixing in baseball, the potential of human error in umpiring is at the very BOTTOM of the list of things that are LEAST needed.
In no particular order, any TWO of these would improve the game about a thousand times more than replay could hope to:
1) The mound needs to be raised back up to its pre-1969 height.
2) Honestly, contraction. There ARE too many teams, and because the talent pool is stretched so thin there's players in the Major Leagues who have no business being there (high strike-out hitters like Adam Dunn and Ryan Howard wouldn't have even gotten a GLIMPSE of the Majors 25 years ago unless they paid admission).
3) Additionally to #2: Then we don't need a three-round playoff system. I don't think it's likely we'll see one round again, but let's at LEAST whittle it back down to only an East and West division in both leagues.
4) Wrest control of the game away from the media. Three-hour games only benefit the advertisers (that's the great thing about extra-innings ball. Almost no more commercial breaks until the game is done, at least in St. Louis).
5) ENFORCE THE REGULATION STRIKE ZONE. Simple as that. The book says the strike zone should be so big, but umpires haven't actually CALLED the regulation strike zone in years.
6) Speaking of Umpires, there's a few who've come to the conclusion they're bigger than the game (Angel Hernandez comes to mind) that need to be knocked off their pedestal.
7) Ditch Interleague. It was a novel idea the first few years, especially when you get classic match-ups Like Cards or Dodgers vs Yankees, or cross-town rivalries like Cubs vs White Socks or Yankees vs Mets. But at this point the novelty has worn off.
8) Following on from #7: When you take away Interleague DON'T REPLACE IT with more in-league games. The season needs to be shortened back down to 154 games.
9) Put an end to that "All-Star Winning Team Chooses Home Field in the World Series) bull. Seriously. The All-Star game shouldn't count for ANYTHING but bragging rights.
There's more, but this is the list I could throw together quickly. All of these would be FAR more significant improvements than anything replay could hope to accomplish.