Hello, Eli,
Recently, I've been mainly reading long non-fiction books, with a few restful pieces in the dramatic readings section, so they're less likely to be fun to listen to.
One of the earliest recordings I did (so the sound quality's not as good as it is now) was a short poem called Lament of the Irish Emigrant, which was in the first poetry collection we did. It's section 17 in the collection:
https://librivox.org/short-poetry-collection-001/ I had a lot of trouble reading it, because it made me cry so much .. you can hear my voice breaking in the recording.
The pieces that I've actually enjoyed doing have generally been gently humorous or romantic (though I have spent quite a bit of time with horror stories):
So ... I enjoyed reading the last chapter (chapter 19) in Three Men In a Boat (where I managed a few verses of Two Lovely Black Eyes, sung by the three drunk friends):
https://librivox.org/three-men-in-a-boat-by-jerome-k-jerome/
... and one rather sad story (but it may be a bit too long), where I made up the tune for a song by the main female character. That was "The Demoiselle D'Ys" in Robert Chambers' "The King in Yellow" .... it's Section 7 in
https://librivox.org/king-in-yellow-by-robert-w-chambers/
Go for pieces that you love, to start with. Don't dive straight into a solo reading, as they always take much more work than you expect; save them until you have a feel for the system.
Have a lovely time.
Peter