I have heard that the best version of the Bible and New Testament in Slovak is the Roháček version.
Audio
AudioTreasure
Audio Treasure offers audio Bible files for download in many languages including Slovak. This site servers over 1 million Bible mp3 file downloads per month to 200 nations around the world. Visit this site for the audio format of the Bible in Slovak language.
Bible Gateway - 1979 Slovak Bible
https://www.biblegateway.com/resources/audio/info/
You can listen to the Slovak Bible on this site.
Faith Comes By Hearing
https://www.faithcomesbyhearing.com/audio-bibles/resources
https://www.faithcomesbyhearing.com
The Slovak audio Bible is available on Faith Comes By Hearing's app. This app is available on iOS, Android, and Kindle devices.
Global Recordings Network - Slovak language
http://globalrecordings.net/en/language/3225
The Slovak audio recordings on this website are designed for evangelism and basic Bible teaching to bring the gospel message to people who are not literate or are from oral cultures, particularly unreached people groups.
Multi-Language Media
https://multilanguage.com/languages/slovak/
Slovak audio resources are sometimes available on the website of Multi-Language Media. Visit their page for available Slovak resources.
Slovak Bible
https://listen.talkingbibles.org/en/language/slk
Listen for free to the Bible in Slovak here on this website.
Slovensky Biblie By Faith Comes By Hearing
https://itunes.apple.com/us/podcast/slovensky-biblie-slovak-bible/id349492090?mt=2
The Slovak Audio Drama New Testament (SBS) is a unique presentation of the Audio Bible with approximately 180 different characters and a digitally recorded sound track with full sound effects.
The Bible in Slovak
http://worldbibles.org/language_detail/eng/slk/Slovak
You can read, watch, or listen to the Slovak Bible on this website.
Slovensky Ekumenicky Biblia (SEB)
https://www.bible.com/en-GB/audio-bible-app-versions/464-seb-slovensky-ekumenicky-biblia
The audio format of SEB is available on YouVersion. You can listen to it online or thru their free Bible app.
Audio Bible
Slovak Audio Bible, Vol. 1: Pentateuch / Biblia Mojzisove Knihy - Slovensky Ekumenicky Preklad By Slovensky Ekumenicky Preklad Amazon
https://www.amazon.com/Slovak-Audio-Bible-Vol-Pentateuch/dp/B01H1EBJ5W
This is a great Christian product sourced from Bible In My Language, the leader in foreign language Bibles and outreach materials from Baltimore, Maryland in the USA. This audio Bible includes the first five books of the Old Testament.
Faith Comes By Hearing
https://www.faithcomesbyhearing.com/audio-bibles/resources
https://www.faithcomesbyhearing.com
The Slovak audio Bible is available on Faith Comes By Hearing's app. This app is available on iOS, Android, and Kindle devices.
Slovensky Biblie By Faith Comes By Hearing
https://itunes.apple.com/us/podcast/slovensky-biblie-slovak-bible/id349492090?mt=2
The Slovak Audio Drama New Testament (SBS) is a unique presentation of the Audio Bible with approximately 180 different characters and a digitally recorded sound track with full sound effects.
Slovak Bible
https://listen.talkingbibles.org/en/language/slk
Listen for free to the Bible in Slovak here on this website.
The Bible in Slovak
http://worldbibles.org/language_detail/eng/slk/Slovak
You can read, watch, or listen to the Slovak Bible on this website.