How much better is HD660S than this? As far as I've read the soundstage and bass of HD560S should be better?
They are rather different.
HD660S2 is warmer and laidback and could do with a little bit more in the upper mids/lower treble.
HD560S is brighter in upper mids/more forward and needs the upper mids/lower treble lowered.
HD660S2 is 'smoother' and 'lower distortion' sounding.
HD560S is a bit better in stereo-width.
HD660S2 is slightly better at creating a solid stereo image (pinpointing of instruments)
HD660S2 feels more solid/premium when holding it.
HD560S single sided cable. HD660S2 dual sided entry.
HD660S2 also comes with Pentaconn cable.
HD560S2 is much cheaper so is much higher VFM
HD560S is more sensitive