Not sure all these would be considered standards,if not they should be,

Favorites is also a term hard for me to define,depends on the mood time of day and other factors.
My favorites list might be different tomorrow.

So here's a few I can always dig.
Summertime - Louis & Ella from the Porgy and Bess album
Fine and Mellow - Billie Holiday from Lady in Satin
Ahmad's blues - Ahmad Jamal
Take Five - Dave Brubeck from Time Out
Moanin' - Art Blakey and the Jazz Messengers
Mercy, Mercy, Mercy - Cannonball Adderley Quintet
Song for My Father - Horace Silver Quintet
Killer Joe - Quincy Jones from Walking in Space
Watermelon Man - Herbie Hancock Takin' Off
The 'In' Crowd - Ramsey Lewis Trio