Call me weird, but sometimes I just like to hang out in certain places around Disneyland and soak up the atmosphere. It's great to just pick a bench or low wall somewhere and sit down to eat a churro and people watch and just enjoy being there.
One of my all time favorite spots is in Town Square across from the Fire House and Walt's old appt. there. Great around closing time.
Of course I also like the Big Thunder Trail around mid-day and NOS looking out at the River in the morning.
It's a great luxury to indulge in (esp. if you have an AP) when you're not rushing off to the next attraction or waiting in line somewhere.
One of the things that makes Disneyland so much better than other parks is that so much time and effort and attention to detail are put into that intangible atmosphere.
So, where's your favorite spot to enjoy it? Be specific, and remember, I'm talking about Disneyland here... DCA and DD don't count.