The best of both worlds, manufacture "refurbs", get you in at a little cheaper price, and still get a warranty in most cases. But you still may run into possible problems. In the new $1k range is the Epson 8350, and the Benq 1070. You can get refurb Epsons for around $8-900, which is great if you get a good unit first time around. There is a chance however you won't, and you'll have to return it a time or two. The epson is suppose to support anamorphic, but it doesn't have a power zoom, which you may not find in a $1000 range pj?
That said, if you need a pj that does "lens memory", then you'll have to look else where, maybe a Panasonic AE4000, which you may find used in that price range? The B Stock JVC's you can find used at times as well, but most likely over that price range, or maybe a Sharp z30000, http://www.projectorreviews.com/sharp/xv-z30000/tour.php#anamorphic
, but again, might be out of your price range, even used. Forum member, Airscapes has one listed in the, "for sale" area, here.
Who will guarantee any will last 3 yrs? Some higher priced units offer 3 yr warranty....