My personal experience:
48 hours after delivery, Power brake booster failure that caused brakes to drag all the time, with much heat and odor. This was a real blast, because Roadside Assistance had no idea I even owned the car yet - the selling dealer had to intervene and pick up the tab to get the car towed (much appreciated on the dealer's part).
Intake Valve recall
Flickering Lights Recall
Cooling module recall
Power steering pump failure
O2 sensor failure and destroyed catalytic converter (but no check engine light, so I wonder about whether there is another hidden cause)
Oil pressure gauge shows dramatic drop in left hand sweepers, see my post here for more details:
http://vca2.viperclub.org/forums/showflat.php?Cat=&Board=UBB14&Number=356322&page=0&view=collapsed&sb=5&o=&fpart=1
Two failures required flatbed tow to dealer.
In contrast, my 2001 GTS has been virtually perfect, has fewer squeaks & rattles (which have already begun on my SRT-10).
I attribute much of what I have wrong with the "blessing" of getting my car in early Feb. I wish I had flipped the car for some profit when I could have gotten an easy $5-10K out of it.
I really wanted to love the 2003, and it has the potential to be great. But my car is far worse than my '93, which I regretfully traded against my '03.
I also remain VERY concerned about the low oil pressure issue, and do not track my SRT-10 because of it. I don't want a performance car that I can't take on track, but I am a track rat and absolutely cannot tolerate a car touted for its performance that in fact won't turn many laps if pressed.
I need to be more patient and never buy a first year of production car again.
And I saw a post about Spec Miata above - let me tell you that my SM is WAY, WAY, WAY more satisfying to drive than my SRT - for one, the SM holds oil pressure in left hand sweepers rather than terrify me with a gauge that heads for zero the longer you hold the G's. All with a BONE STOCK engine that holds only 4 qts oil in the sump and NO special mods like an accusump, etc.