Lay texts were written without their music from medieval times onward. The texts themselves have long been the object of scholarly attention and I am not going to list every item here. I will only list the main published collections.
Kuno Meyer, Fíanaigecht Dublin, 1910
includes lays from before the 14th century, text and English translation. Online at the National Library of Scotland.
Neil Ross, Heroic Poetry from the Book of the Dean of Lismore, Scottish Gaelic Texts Society, 1939
text and translation of lays from a 16th century Scottish manuscript.
A 17th century manuscript compilation of lay texts, published in three volumes by the Irish Texts Society, which are available from Archive.org: part 1, part 2, part 3. The books are still in print and can be ordered through the Emporium.
J.F. Campbell, Leabhar na Feinne, 1872
Gaelic texts only of a large number of lays including many close variants collected in the field. Available online from archive.org