Hi there, I'm Matt Sergei (do call me Matt, please) and I can create a site like your referenced.
It all can be done with WordPress and custom templates for categories and possibly even custom post types (that have fields for example for lyrics author, date of first publishing, etc).
Otherwise I'm a webmaster and IT developer for 26 years, and WordPress developer for 15+ years.
Looking forward to your reply and hope you're safe,
Matt