Not that I own a Rigol, but on your images I can only see DC coupling.
If you want to clearly see/measure ripple you must to use AC coupling.
The on screen measurements of P-P for 5V 280mv and 37V 5.6V seem excessive.
Fair enough. Let's see if I can do that better. Here's everything AC-coupled:
digital supplies, no BW limit (ground spring connection):
digital supplies, with 20 MHz BW limit (ground spring connection):
analogue supplies, no BW limit (ground leads, all three connected to TP):
analogue supplies, with 20 MHz BW limit (ground leads, all three connected to TP):
As far as I can tell, the digital +37V rail is only used for the display/key board, so I'm not actually worried about the ripple on there, although it's quite prominent.
Regulators are all around 45-55 °C and the caps around 35 °C (with open case, 25 °C ambient).
So what do you guys say, is that looking good? Would you replace the caps?