Andrew Gideon wrote:
I'm just trying to get a picture of what some of these things might
be. They might give me some new ideas grin.

Well, common rules various clubs impose on their members include:

Restrictions on non-paved runways.
Minimum runway lengths.
Per-type (or even per-airplane) checkouts.
Instrument checkouts.
Night checkouts.
Prohibition of acrobatics.
Prohibition of formation flight.
Recurrent training or checkouts.
Stricter-than-FAA currency requirements.
Scheduling quotas.
Restrictions on flying from the right seat.
Restrictions on which instructors you can use.
Requirements to participate in club activities.
Prohibition against smoking in the airplanes.
Requirements to maintain your own insurance.

There's no way to know which particular bugs a particular club has up
their collective butt without reading the rules before you hand over
your check.

It's probably universal that flying clubs prohibit the use of their
aircraft for commercial or for-hire operation.