There are few re-makes I think surpass the originals, The Day The Earth Stood Still and The Time Machine included. I'd include a few other bad re-makes: Robocop, Invasion of the Body Snatchers, Ghostbusters and Total Recall.
There have been some good ones, though: War of the Worlds (2005), Dune (TV series vs film, though really it was a separate adaptation of the book series); Invaders from Mars (1986) vs the 1950s original if only because it was so corny; Battlestar Galactica (TV series); V (another TV series).
The Andromeda Strain is a classic and, personally, I'd rather not see it re-made. I'd prefer to see new sci-fi or more book adaptations rather than re-makes of older movies.
On that note ... if you're the kind of person who's usually read the book, you might enjoy this comedy video:
Axis of Awesome - Rage Of Thrones (Warning: Strong Language)