I haven't heard the Lirics or any closed back planars for that matter. But I do own the Z1R and if you are wanting a warm, non-fatiguing "fun" listen, they definitely fit that category. Light, comfortable and the build on them is top notch. They seal really well and haven't struggled with any genre I've thrown at them. Tried the Fostex 900 MKII's which definitely slammed a bit harder but the high peaks were just too much, the Z1R is about 90-95% there and I can listen to them all day.
My goal was to have a set of Empyreans compliment them for two warm leaning fun headphones and a set of Tungsten DS for the clinical listening.
Wish I could give you a comparison but I can say I'm a happy owner of the Z1R and hope to keep them for a long time