Another thing to consider is the effects of house rules on a system. Yeah, you could convert something, but if there's a house rule in place for specific conditions/effects/abilities, the conversion may not ultimately be what you need. As Stormonu said, it would probably be good for 'before the game' stuff.
I haven't played 4E and have no desire to, so I don't really have any insight into how it works or how the books are laid out, but if you wanted to put together a ginormous book (or multiple books, more likely), like a Player's Handbook, you could have it set up so that each section (Abilities, Races, Class, Combat, Magic, etc.) would say "Here's how the Trip attack (for example) works in OD&D, AD&&D, 2E, 3E, 3.5 E, 4E, and Pathfinder."
Possible? Yes. My idea, though, would be expensive and unwieldy. Especially if you have to duel wield books. You would take a -2 to your Reading skill.