I would have to say coasters, water rides, atmosphere, operations, and theming. I'm not a big flat ride person, so I don't include them in my list. ...so that's why parks like Universal, Busch, and Hershey are at the top of my amusement park list.
That's why they relocated Stealth from PGA to Carowinds. Remember it was Paramount we were talking about. Anyway, who really knows except for Paramount, which doesn't matter anymore.
With that said, I'm glad to see FOF up and running and lets hope for a new coaster soon.
I would like to see Cedar Fair remove Hurler and the go-cart track at Kings Dominion, and put the trees back around the Grizzly. What am I saying, it's Cedar Fair, that will never happen. I think removing Anaconda and replacing it with an Intamin Mega would be a good idea, too.
^A Griffin has the head and wings of an eagle and the body of a lion. As for the statues, I vaguely remember them. Sorry for not being more help.
Edit: The Griffin is also the creature in Corkscrew Hill that picks you up and drops you.
Since this thread is back, here's my favorites.
1.IOA/USF
2.BGW
3.BGA
4.Hershey Park
5.SFGAdv. (only with a gold flash pass)
The others in no particular order.
SFNE
Knoebels
Dollywood
Silverwood
Cedar Point