So your price range is from $1000 to $3250? There's a crapload of CDPs that fall in this price range, so you're going to have to be more specific, as in what kind of sound you prefer, features you're looking for, whether it needs to be balanced or not, and if you have a preference towards tubes or solid-state (or don't care).
HiWire recently bought the Arcam FMJ CD36, I currently own the Arcam FMJ CD33. The Arcam sound, based on what I've found, is conservatively cool-sounding, but very refined and graceful. Articulate and agile, with good bass rhythm and extension. However, it could be said to be bass-light as it doesn't have much quantity and favors speed & definition over authority.
I used to own the Ayre CX-7e but ultimately tossed it for the key reason I found its sound too integrated (as opposed to separated). I wrote an impressions thread here:
http://www.head-fi.org/forums/f7/ayr...ssions-253500/
I've also heard the Primare CD31 and McIntosh CD31, both of which I've written about here:
http://www.head-fi.org/forums/f7/aud...e-cd31-273223/ and here:
http://www.head-fi.org/forums/f7/aud...e-cd31-239534/
I also previously owned Audio Aero's 2005 Prima and tossed it due to some operational issues I had with it, along with the fact it uses miniature tubes (sonically they didn't work for me, and tubes ultimately don't have longevity either). But it did sound very nice, it just wasn't the kind of sound for me. But for a "hybrid" sound (the tubes are only in the analog output stage, there's a solid-state front-end), the Prima sounded excellent.
There are many more CDPs I haven't heard that have received rave reviews, or lots of consumer press, recently. Cambridge Audio's Azur 840C, Raysonic's CD128, Marantz SA-11S1, etc. Also thanks to sites like Audiogon, you can get CDPs that normally would fall over your budget for a smashing deal.
For further research of CD players I suggest going to AudioReview, Audiogon, and Audio Asylum, where you'll find lots more info on digital sources.