I would like to see the ability to "pin" projects to the After Effects home screen. This way, commonly used projects (templates, etc.) could be quickly accessed along with recent files. Similar to how Photoshop or Illustrator have "templates" to choose from when you start a new file (and how you can create your own from this area). Pinned projects could be shown at the top of/above the "recent files" listing.
The value is always having projects you need/use handy even when you've worked on a ton of other stuff between usages.
I see this being something all programs could benefit from.

Home screen in AE.

"Create New" in Photoshop

"Create New" in Illustrator
Stephen