I take your point Ryan about viewing via smart 'phones and tablets.
Here are a couple of other thoughts -
One thing that peeves me on club websites is the club diary for the next few days-week-month. Too many clubs hide this in the 'Member' restricted area. Wrong.
Have it accessible to all. This way if I want to play say next Fri as a visitor I can check myself online whether some fixture, match etc is being played on said Fri and can then decide myself, without 'phoning up and talking to the proshop, whether to play there or to try somewhere else.
On-line entry for Open Comp is a good feature, no more form printing, filling-in, posting and then the have-I-got-in and if so what teetime period.
I like to see the opening page of the website have very high quality photos, and several of them, big ones as well, and photos that change/move quickly to the next photo. Change quickly, not slowly. They make me want to delve deeper into the site.
There are other points I'm sure too but these'll do for now!
Atb