I don't spend a lot of time on Coruscant - why would I? It always covered only a fairly brief part of the levelling game, and with the increased levelling speed brought on by 4.0, you might as well blink and you'll miss it. To be honest, I also never actually liked Coruscant very much. Most of the environments are way too corridor-like, and story-wise it's just a different gang causing problems in each sector, which is not very exciting.
And yet... there is something about that planet. Recently I came back to it more often than usual, due to working on both a knight and a trooper alt, and if I allow myself to actually take in my environment after exiting the spaceport instead of making a blind beeline for the next quest objective, it's still kind of enchanting. The way the music swells, the beauty of the wide open spaces around the Senate Plaza, with the skyline caught in eternal dusk... it takes me back to the first time I arrived on the planet and felt that this game was really taking me to a galaxy far, far away.
It's interesting that my actual first starter planet, Ord Mantell, doesn't evoke nearly as many feelings. Do you also have a place that still reminds you of that special "new MMO" magic?