Can you move back and forth between the 2 hierarchy levels or between different menu items? E.g. System > Settings gets moved to just Settings or System > Settings gets moved to Support > Settings (for whatever reason)
I've never been a big fan of the report center in IPB3 - mainly because you see the report and have to leave the page to take any action on the content. This is definitely improved over the current version and I'm glad to see this in there.
Yes (note - you did ask for "what would you like to see") and no. Tabs can be variable length across different machines. You have one developer who makes changes with one length, and then another developer who has a different length looks at the code - it looks awful. I guess "awful" is still technically subjective here... but it does make it a lot harder to read.
After watching the video a few suggestions / questions on if these will appear later:
Will there be a way to view more than one approval at a time? (e.g. mass approve / delete without loading each one on a separate page) Will there be a count to how many items are in the queue? (e.g. a badge next to the "Approval Queue" menu item) - Currently you're just kinda diving in hoping there aren't too many items without any kind of feedback on how much work you have cut out for you. I would want to see that too. It's a shame it's not part of the core. "Here, let me reject delete your content but I'm not going to tell you why without doing 10 more steps".