Sometimes I do the OS Daily Reset from whatever the most recent OS book is (I can't remember the title).
Sometimes I do about five get-ups per side. Two with 24kg, three with 32kg.
If I'm starting with squats, I'll just work up to my starting weight without doing anything else. 10 overheard squats with an empty bar, 3-5 at 95 lbs, 1 at 135 lbs., then just working up to my starting weight with sets of three. If I'm having trouble generating tension during the warm-up lifts or feel loosey goosey, I'll do some pull-ups between sets.
On my clean and jerk day, I'll do the OS Daily as per above, followed by the Burgener warm-up, overhead squats as per above, and a snatch or two before working in a few clean and jerks to start loosening my wrists. I'll rub my tricep along the bar between things as if I'm foam rolling it. It sounds like a lot, but it's only 10 minutes or so, and then my joints are loose and my proprioception's pretty heightened.
I like the idea of doing the OS Daily or get-ups before squatting or lifting, but the gym only has one rack and bar. If it's open, I get anxious if I don't pounce on it.