Generalizations and History of Past Wait Times (based on my guess)
Summer Daily Average - 80 to 150 minutes.
Fall Daily Average - 50 to 110 minutes.
Holiday Season Daily Average - 110 to 250 minutes.
Current Off Season Daily Average - 40 to 100 minutes.
The absolute latest I have heard/seen of Fastpasses being entirely distributed has been around 2:30pm. The earliest I have heard/seen the gone has been by 10:30am. By lunch if they are not all gone, they are for the final couple hours the park is open.
Wait times yesterday (very low attendance, no Fantasmic) were around 30-60 minutes. Wait times today (medium attendance, 2 Fantasmics) was around 50-90 minutes.
Helpful Hints:
-If you can see the line (through the glass area or outside), the wait is going to be at least 60 minutes almost no matter what the wait times states. If you can't see the line, the wait time may be less that 60 minutes no matter what the wait time states.
-Take a look at the Fastpass line. If a large group of people are waiting to get in for their Fastpass time, try again later. Fastpass makes the line twice as long.
-Go during the Block Party Bash, first Fantasmic, and any LMA shows. Avoid the times immediately following them.
-If you can go before 11am, do it. Get a Fastpass and get in line. Usually, the line isn't too long and moves much faster in the first few hours of operation.
-Toy Story Midway Mania will have longer lines on weekends (Fri-Sun), on Extra Magic Hour dates, on Fantasmic nights, and on holidays. Period.
-Get in line right before park close. If you get in line by X:59pm, then you will usually be out of there by Y:30pm. Even if the wait is 100 mins when you enter, the line will be completely through in at least 45 mins. Why? No Fastpass and the ride operators work faster to go home.
And just as a reminder...
-Fastpasses can be used after their time says they "end". Use your Fastpasses later or during busy times.
-There is no single rider line at DHS for Toy Story.
-Fastpasses are not distributed during extra magic hours. (I'm not sure if they are even accepted during extra magic hours.)
There ya go. Hope that helps.