I found the times on Disney's Calendar for Magic Kingdom. I only looked at May for the week I am going to be there. But a lot days closing time was 9PM and some days it was 10PM and the 10PM days were the Spectro days.
If you click on the calendar day it shows you what parades are going on.
I think during peak times it shows everyday. I wish it showed everyday when we were there and my planning would be a bit easier
From your Signature I assume you are going in October? I don't know if the schedule is out yet. I think some other websites might list a parade calendar based on previous patterns last year?