Add ability to search for notes based on note and notebook title.

Full screen mode to maximize writing space. Have a little "-" sign that minimizes the toolbar into a tiny chevron symbol. You can restore the toolbar by double tapping the chevron symbol.

Like in "good notes" for iPad, you could insert a zoom window witch allows you to write easier and faster. The good notes website describes it as followed:
GoodNotes provides the zoom window to assist you to write in small size with your fingers or with capacitive styluses. Inside the zoom window contains a zoomed view corresponding to a rectangular area on a page.

I want to know if these functions are planned to be implemented in the near future... although it seems like no other android apps support these features as well, but when compared to other competitors in other platforms such as Goodnotes or Notability, lacking these features is quite disappointing.

It might be minor, but I wish I could customize the tool bar such that I could put frequently used things like specific color (black, red), scissor, eraser etc.. on the tool bar directly. Currently you have to click through buttons, and although it's only one or two clicks away, it does matter while you're trying to quickly annotate stuff

I wish I could flip through pages instead of tapping the next page button during reading mode.

Wish we could sync with Google Account so we can see our notes EVERYWHERE

It seems like Evernote only OCRs handwriting from image files, not PDFs.

I like to record lectures as they are given and have several solutions for doing so. I'd love to see it as a unified function in a single app, and Papyrus is seriously one of my favorites. :)

It would be nice to be able to start writing on the next page while still viewing the bottom of the previous page.

I often use Squid to mark up papers and reports. However, in text-heavy documents there is often very little white space left on the page to add notes. Therefore a facility to add an expandable Post-it Note would be a very useful feature.

I would love if there was a triangle option in the shapes tool. I could use a right triangle tool when teaching the unit circle.

A home screen widget that would let you view a note and quickly open it to edit it.

Usually the screen is too slippery to draw lines, and it usually becomes wobbly. Wish there was a tool to draw curved lines and adjust the center of the curve or sort of to draw curved lines.

I would like to add my own backgrounds to the backgrounds menu by uploading a PDF which holds the background (e. g. a form I have to fill in regularly). It should be possible during the uploading dialog to give an individual name to the background and the uploaded own backgrounds should appear in a section My Backgrounds in the backgrounds menu.

Currently, cloud backup saves one single file to my Dropbox account. If I have a few large notes (containing annotated photos, for example) my database can quickly get HUGE, and every sync session takes forever (or fails, very frequently). It would be great if Papyrus could do incremental backups so only new or updated notes will be synced to the cloud.

When I take notes I frequently need to go back later to insert additional material at a specific place. It would therefore be very important to have the ability to create such space by moving all material below further down. You can find this well implemented in the Microsoft Journal software, for example, see http://windows.microsoft.com/en-IE/windows-vista/Format-a-Journal-note