you should be able to get a decent DVD player well under your budget.
The Philips 5106 which was already recommended to you will cost above 4k IMO.
The videocon DS77 comes at under 3K if you can trust videocon. It is the best value for money player. I was even quoted 2.7K for it.
If you do not need DivX, then you can look at LG 8555 or 8556, the Philips 3007 for normal 5.1 decoded outputs or Philips 3005 if 2.1 is good enough. These are all quite sleek. The LG have a black look while the Philips are sleek and silver. None of them have a radio. You will have to get your radio from your speaker system when you buy one. But here again be warned that I have not come across good speaker systems with radio. The radio generally comes with the cheapo speakers. The HTR 2000 of Philips is somewhat decent at just under 7K. You can offcourse get the a speaker system with a separate controller with FM radio. One which I have seen, heard and liked is the Philips LX 600 but I believe this one is discontinued though some dealers still have stock.