Skip episodes/seasons in Up Next to Watch queue
I think you should be able to skip episodes and seasons of TV shows so they don't clutter your "Up next to watch" queue. If you're not watching a show anymore, you can just remove it from your queue and that's great. But in the opposite scenario, what if you start watching a show (e.g. comedy news) that might have many seasons and/or is topical, you don't need to watch all the episodes you haven't seen. So you remove them from your "Up next to watch" queue...but then the new episodes, which you do want to watch, don't show up in your "Up next" queue either. That is a bit inconvenient, so if this is an easy fix it makes sense to me to have the ability to skip episodes or seasons of shows (or mark them somehow as "did not watch"). I realize that I could just mark them as watched but I am kind of interested in the stats that you provide and I don't want to boost the amount of TV I've watched by 500 episodes of something.
By doing this, you could also solve another kind of annoying problem, which is that even if you remove a show from the "Up next" queue, that reduces the clutter in the latter but the "Upcoming Schedule" list gets way more cluttered because of all the shows you just watched one episode of (and definitely don't feel the need to keep watching) or shows you have specifically stopped watching. By skipping or marking as "won't watch," that problem could be solved (alternatively for this one you could just extend the remove ability to both lists of course).
Seasons can already be skipped from your progress page, which also affects your dashboard. Skipping episodes is a much larger update and there is already a support topic about that.
As for the calendar, you can hide the entire show from your calendar page and it won't display on your dashboard either.