Please bare in mind that these comments come from a novice photographer whose first digital camera was an E900. The operative term here, of course, is "was".
My biggest issue with the E900 is that mine has evidentially died literally days outside of the 1-year warranty. I have no idea whether I have just been unlucky but I can say that faults can occur in this model and that Fuji, in the UK, wants £100 to fix it. On thinking about it, the camera may have objected to the high humidity in Hong Kong (32 degrees C and 75% humidity) when the problems first started occurring but I didn't notice others having problems with their cameras.
My other issue with this camera, and for all I know this effects many others, is that the screen on the camera is rubbish. At 2" it is already smaller than most cameras these days (I recently brought back a Nikon S50 from Japan for my sister and the 3" is immense on that thing) and I've had real difficulty in being able to use it in bright situations. On many occasions in Japan I had to resort to using viewfinder (plus point, however, is that it includes a viewfinder) or "aim and pray".
Finally, the write times to the xD cards can be pretty slow. I hear that this seems to be endemic to the card format but it's damned annoying when you need to get another shot off and the camera is still writing your shots to the card. I'm going with a Nikon D40X next (budget won't stretch to a D80, unfortunately) and hope that I can shoot faster with that when trying to take wildlife pictures.
Aside from all this, when you start playing around with the manual modes the camera is capable of taking some really nice pictures. I just find it a shame that when I had started to get comfortable with photography that it broke.