The phrase Helga Bjarni drap (Bjarni killed Helgi) might well occur in, say, a ríma.
Nevertheless many of the most popular nineteenth- and twentieth-century Icelandic poets composed rímur, including Bólu-Hjálmar, Sigurður Breiðfjörð, Einar Benediktsson, Steinn Steinarr, Örn Arnarson and Þórarinn Eldjárn.
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Steindór Andersen is currently the leading rímur singer in Iceland: he often collaborates with the band Sigur Rós and has also contributed to some of Hilmar Örn Hilmarsson's works.
Ólafs ríma Haraldssonar is a 14th-century ríma by Einarr Gilsson on the career of Saint Óláfr Haraldsson of Norway.
Additionally, former Psychic TV member David Tibet (né David Michael Bunting) released a CD of Sveinbjörn performing his own rímur and reciting the traditional Poetic Edda under the title Current 93 presents Sveinbjörn 'Edda in two editions through the now defunct record company World Serpent Distribution.
Locally he is well known and respected for his short stories (most often offering humorous social satire), and his equally humorous and witty poetry, such as his "Disney Rhymes" (1974) - The Walt Disney Story presented as an epic tale in the rímur fashion.