I found this old thread because I had the same problem as dkplayaclub.
To illustrate it, here are two thumbnails of the library page of PocketBook Reader, on the left the crippled covers and on the right the good ones.
I figured out, that the reason is an incorrect epub file structure. If the "content.opf" file is in root directory of the ebook, the book cover has the frame, if it is in the document folder (e.g. OEBPS), the cover is displayed in full size.
I fixed the problem with calibre ebook editor by renaming the "content.opf" file to "OEBPS\content.opf".
I hope, this will help.
I think, PocketBook Reader Android App is best Reader App and it is relativly unkown.