Believed that 2K budget mostly can buy "small" speakers, and small size speaker cannot generate very deep bass....
Anyway, FYI, I bought a pair of Tannoy "Mercury F1 custom" recently... very close to your budget Use it for pop songs as well, high ~ mid range is good. Bass is ok consider at its small size.
Or Quad lite might fit you better, but will over 2.5K ~
Try Cambridge Audio S30, bass quite punchy. Go try at Radar in iSquare. I tried Quad lite and like S30 better. However it's very subjective so better try it yourself. Also Wharferdale Diamond 10.1 falls within your budget. KEF's bass is not strong, good mid and high though.