I wrote a suggestion a day or two back but I seem not to have posted it. This is the gist of it:
In my opinion, a good way of choosing a £1000 system is by being willing to sacrifice deep bass in exchange for better timing and expressiveness. Specifically, this can be achieved by choosing good but less expensive speakers that lack deep bass, making more of the budget available for the CD player and/or amplifier
I must emphasise that the following system, since I have not heard it, is a suggestion for listening rather than a recommendation. It is based on other people's opinions, What Hi-Fi reviews and my previous experience of components from the same manufacturers. The suggestion is: Rega Apollo CD player (which seems to be less than £500, these days), Rega Brio 3 amplifier and Wharfedale Diamond 9.0 speakers (which are currently advertised for £50). This will leave enough for cables, interconnects and speaker stands.