What are considered to be off hours for eating? This will be my third trip to DL and my fifth overall to a Disney Park, I've been to WDW twice. To me, it seems that people eat whenever and there really aren't off hours.
In my experience, a lot of people seem to eat between 12:30-2pm or so for lunch. So what I normally do is either make sure to have a reservation at a table spot, so I am not waiting around forever, or eat before or after prime time for lunch. Obviously, this works for dinner as well. Prime time for dinner seems to be 5:30-7pm-ish.
So for example, DH and I walked by Storyteller's last visit at about 1:30pm. It was insanely packed! We had ressies at 3:30pm and when we returned, there were only a few other people eating at that time. We had good service and paid lunch prices, but treated it like dinner. And this was between Christmas and New Years, one of the busiest times in the parks!
This goes for counter service as well. I like getting soup at Royal Street Verandah, but I hate waiting in that line and jostling for a spot to sit and eat. They open right at 11:30am, so I make sure I am there and have a place to sit. DH orders right when they open and we relax and have a nice lunch in New Orleans Square. At noon, the line begins to form and by 12:30 on a busy day, that line starts to back up into the POTC line! But by eating an hour earlier, I avoided that mess completely.
Obviously, this doesn't work all the time. I have noticed that on Friday nights, when the APs enter the park after work, there can be long lines for food that extended well into the night. So we eat earlier in the day and avoid counter service on Friday nights.
Also, I can't stress enough that it is so much easier to have a reservation. I can't tell you how many times we called the night before to get breakfast at Carnation Cafe the next morning. We walk right up at our time and are seated, bypassing a long line of standbys. We have even called for a seating the morning of and got a reservation. For the busy spots, it is definitely worth making a reservation to avoid waiting.