RTR is alot like EB just with 3 less factions(they don't use the Roman factions because of the fog of war) and without the script.

It runs much faster than EB because of the script and the sheer amount of content of EB.

On my desktop from 2001 I have RTR, it runs fine, I have EB on my new laptop, it runs fine(very slow after the 3 hour mark, but thats a RTW problem).So if you have a crappy computer, have RTR, a good computer EB.
This doesn't mean that RTR is bad, its just a tad behind the times.

I still play RTR when I need a break from EB.