The ability to download audio and video for offline use and the ability to watch videos not embedded into content, like General Conference talks.

The ability to have your tabs and synced between all devices that share an account so you can move from one device to another without having to find all your spots again.

It would be great if I could group or categorize my bookmarks. I could have a group of bookmarks for the lesson I'm working on and a separate group for scriptures I've memorized, etc. It would make it easier to look for the bookmark I want in a long list.

Add option in appearance section of settings to choose whether the live tile is solid colored (current appearance) or transparent.

Make lds gospel library available as a lock screen similar to where bing cycles through pictures of the day, you could do temples of the day

It would be nice if when you enter the app there is a setting to where the screen never turns off until you leave the app like the android version.

This would include support for a universal version of the app native to Windows 10, Windows 10 Mobile, and, eventually, XBOX One. This would also make using Continuum possible on mobile devices.

Add the ability to put a box around a section of text. This would be especially useful if one could also underline key words within the box.
Example: I would like to put a box around the parable of the Good Samaritan but then just underline the one key word Samaritan.

Many people use colours as a personal category system (e.g. words spoken by the Saviour are in red, missionary scriptures are green, personal scriptures are in Blue, etc.)

On the annotation page, if it was possible to filter annotations based on the colour of highlight / underline used, it could help people using this marking method to locate their personally selected scriptures.

When I perform a search, it appears that it only searches content I have downloaded.
As such, I frequently have to switch to a browser, perform a search, switch back to the app, and download what I need.
It would be so much nicer if I could just specify I wanted to perform an online search, then, if I found what I wanted, I could just click to download (much like clicking on one of my notes that refers to content that isn't downloaded yet.)

It would be cool to have the apps main tile flip through the inspirational messages shown on the apps home screen.

It would be really nice to have a feature (optional, that could be turned off or on) that would automatically date-stamp notes that we create. Seeing when I created a note even years later can help me remember the context under which it was created and magnifies my scripture study.

Add the capability of dropping individual scriptures, talks, or other customizable selections into the collection

I have about 20 bookmarks. It would make it easier to navigate them if they were sorted in the order they were last updated.

It would be wonderful for a Universal App version of Gospel Library to be made available for Xbox One once it starts using the app universal app platform.

On lds.org, I now have the ability to see my Patriarchal Blessing.
It would be really nice to be able to see that image in GL. Also, I understand I can request blessings for my ancestors. It would be great to be able to access those too.

Make it easier to share the article/scripture I'm currently reading. Unless I'm doing this wrong, it'd be nice to have a button to share a link to the article/scripture I'm reading instead of being able to share only what is currently highlighted.