Thank you all for your suggestions! I'm looking forward to going into a few shops I never get to see because the kids just want to get to the rides.
Does anyone have a favorite place to eat alone? I always try to eat at Blue Bayou but that one may look a little silly all by myself.
Dining is one area where I don't yet feel totally comfortable by myself, but I will do it anyway.
If you think you might run the risk of feeling awkward or looking silly (even though I'm sure you would be fine!), a good place to eat is Tangaroa Terrace at the Disneyland Hotel. Go on a late morning or early afternoon (after breakfast and before the lunch rush). The outside patio has a lot of tables, some of which are tucked around corners. When I ate there, there were very few people outside. Most of them were inside. I sat outside by myself, with a view of the pool, and a bunch of cute little sparrows gathered around me, waiting for me to toss out some scraps. It was very quiet.
I also ate at Plaza Inn by myself. Needless to say, there are lots of people at the Plaza Inn, so it wasn't exactly quiet and I couldn't really hide in a corner or anything.
I have eaten at Storytellers Café alone -- a bit awkward and very busy, but I got through it.
Many times I have grabbed cookies, pineapple spears, drinks or ice cream and plopped down at the tables next to the Market House/Starbucks, or on nearby benches. On one occasion I was quietly sitting by myself, dealing with a messy ice cream cone, when a family just sat at my table and watched me eat!
I can laugh about it now, but one of the people in the family was glaring at me the whole time, as if I was somehow intruding on their family outing!
I never felt more awkward as a solo diner than I did at that moment, and I couldn't wait to get away.
Another thing you can do -- if you feel uncomfortable eating solo -- is get food to go from Earl of Sandwich. The sandwiches are nicely wrapped and put in convenient carry out bags, perfect for transporting to a bench or hotel room.