New MP3 Skype recorder version 6.0 is available. It is a major update.
Download links
https://download.mp3skyperecorder.com/MP3SkypeRecorderSetup.exe
 

Please note that new version will not uninstall previous version! So you can make sure that new version works for you, before uninstalling currently used MP3 Skype recorder

MP3 Skype recorder 6.0 has new user interface and lots of internal changes matching latest Skype. Saving call details, contact names is now fixed. Latest recordings is now available in short list for your convenience. It has built-in autoupdate feature.

Pro users with licenses purchased in 2020 and 2019 will get Pro edition for new version automatically or they can use their activation codes to activate new version. Licenses purchased prior 2019 are not compatible with new 6.xx version, but you can still use this codes with 4.xx versions. 
Getting Pro Edition