I will second Alicia's Keys as a KILLER live piano. I've been using it now for about 4 years as my main ivories, and I have no plans on switching any time soon. For rock/pop (probably even jazz) I do a little bit of EQ (as I do with any piano), I pull a couple dB out of the 320Hz range, and then I'll do a boost in the 5-8kHz range (to taste). For 80s stuff like Journey, I peg the heck out of the 5-8kHz range, as that's sort of the sound from that period. Regardless of whatever piano, I tend to always run it through an LA-2A compressor plug-in (in my case: IK Multimedia White 2A), which gives it a nice heavy attack but gets it out of the way. If you're doing solo piano jazz, you'll probably do less processing, but even when I've done piano jazz, I use these processes, just less.
Honestly, there are now dozens of great pianos out there, some recorded by small independent groups in basements, and they all have their own unique character and sound. For me, Alicia's Keys is a great balance of character but with enough polish to play on a wide range of material.