I know I'm getting late but...My 02 SE is doing the exact same thing. My problem started after I did a tune up. Plugs, Wires, fuel filter.
I have heard others speak of this problem and the clogged cat that Rogue mentioned was named.
Mine started about a month or two after the tune-up.
my wife'* uncle is an ASE mech. And when I told him about it he said maybe plugs and wires were needed. This problem is annoying to me too.
I'm hoping we can find something out.
I'll keeps tabs on it and if I find anything out I'll post.
02 Se with a few mods,
Coming Soon 1.9'* OR pushrods and other stuff