The good news is that access to older recordings continues to improve, ever so gradually, with more appearing on streaming and download platforms.
In terms of new albums, though, there are only a couple of ones that I'm aware of.
The vocal album Crossing Borders (Ars Nova Copenhagen on the Da Capo label) includes the Two Border Ballads, op.110. That is, A Lyke-Wake Dirge, op.110a (M.259) and The Wee Wee Man, op.110b (M.260).
These are already among the more frequently recorded of Holmboe's choral works, but there's nothing wrong with that! Other composers on the album include Nielsen and Stenhammar.
The other recent album is called Vildtvoksende fantasier (Wild-growing fantasies), and is subtitled (in Danish) as "Music stories for children". It combines stories with chosen pieces of music, of which 2 are Holmboe's. "Øens kirkegård" (The island's churchyard) is one of the songs from Sange mod Vårdybet (Songs Towards the Deep of Spring), op.85 (M.223). "Du svævende ånd" (You hovering spirit) is the second of the Two Sarvig Psalms, op.154 (M.315).
These are not actually new recordings, they are taken from a Da Capo album of Holmboe's a capella choral works (Sokkelund Sangkor, conducted by Morten Schuldt-Jensen). So perhaps this is of most interest to anyone with Danish-speaking children to read the stories with.