Denon 3910 is just over $1000, you can still find the 2900 or 2910. If you save a bit, you can get the mods on them. Check the thread "DV-50 is there any better". I think McCormack makes a player, Udp-1 for just over $1000 as well, it seems to get good reviews here.
On the cheaper side, check the yamaha player. It gets the job done nicely at a reasonable price. Just saw one for around $600 on this site.
Hope that helps.