How many switches do you have to flip the play a CD?

All on 24/7 Usually on CD (selector on preamp)
So button to open tray, button to close tray. Play
Three touches.

To play an LP: flip preamp selector, turn on TT motor, flip cue lever.
Again three touches

Nonoise
My CDP is on all the time so it's one switch for the integrated, one for 'open tray', the insertion of the disc itself, 'close' and then 'play'.

Same sequence for me.

preamp - 1, amp - 2, DAC - 3, CDP - 4, then 3 button-presses on the CDP itself - open, close, play.
It's even more of an effort to get my PC audio setup going. Have to get the laptop out and plug in 5 cables, then hit power button, then get the software up, select music, double-click to play.
Of course you must include the time required to access the fridge, grab a beer, find the opener, open the beer, and tuck the cap between my middle finger and thumb, then snap it across the room into the trash can.

I used to have to switch on a bunch of gear but then I got smart and bought a PS Audio P3 Power Plant. I programmed one outlet to be powered up at all times (for the preamp) and have the other 3 output banks set to power up my other components with a touch from the remote control. I also set different time delays for the amp and front end gear (and different for the ON/OFF sequences). How 'bout that!

None. I do not play CDs at home.