There is no doubt that CD63 in particular its MKII KI Signature was and is still one of the great CDP in the past 20 years. With your stock CDP the SQ IMHO is comparable to present day's CDP of £800- 1000 price tag.
If you know DIY I recommend you to change the smoothing capacitors (to 4X 10000uF) on the digital and analogue rails and change the 7812 and 7912 voltage regulators with two low noise Regulators as well as all the dioides with schottky diodes; change the two stock opamps with better ones or discrete opamps; disable the HDAM circuit and the headphone output; and most importantly change the stock DAC clock by a low jitter clock of 16.9344MHz (and change the 8.467MHz clock to the servo if you can) then you will be amazed by its great jump in performance. Apart from that you can change all the stock capacitors of 220uF to Rubycon 470uF and change the stock toroidal transformer by 3 bigger capacity toroidal transformers to provide indenpendent source to different circuits.
(Remark: the work is actually not that difficult as you might have thought. I just followed what had been mentioned in the following forum having about 2000 pages of discussions on how modding can be done to CD63. If you have time have a good look at the threads and you will have more confident to carry out the work yorself.
http://www.diyaudio.com/forums/digital-source/54009-marantz-cd63-cd67-mods-list-1867.html)
What you will get at the end of the day is a CDP comparable to something of over £3000. This is my personal experience and actually I have completed modding one myself. The SQ is so smooth, the bass is so tight and extended and the vocals are so real and without lossing all the details in the HF. Trust me my modded CD63's overall performance is so ear friendly that beats my Leema Antila IIS costing £3000. I am seriously considering selling my Antila which is now seldom used