There is very little difference between the two.
Both are absolutely fine for 10 Mbps and 100 Mbps ethernet. Cat5 is acceptable for Gigabit ethernet - but Cat5e is recommended because it is less likely to fail if there are kinks in the wire, or bad connections.
I wouldn't expect anyone to have a need for gigabit ethernet in the home, so the fact that cat5e is slightly better is moot. Of course, if you are chasing the wire into the walls and under the floors and don't want to rip it out in 5 years time, then maybe it would be sensible to consider Cat5e or Cat6 cable.