Keith Jarrett
"Standards: Vol. 1" (Vinyl)

Released in 1983, this album received lukewarm reviews from critis citing Jarrett's rudimentary improvisations.  I thought singing along with your piano playing was something only Glenn Gould got away with, but apparently you can do it with jazz pianists too as long as you seem slightly unhinged.

Standards these tunes definitely are (selections from Kern/Hammerstein, Rodgers & Hart) and Jarrett is joined by Gary Peacock on bass and Jack DeJohnette on drums. 

My jazz deficiency is showing.