Well, I guess you probably don’t know a lot about Icelandic names so I can tell you some of my favourites.
Boys
Ingimar - This is my number 1 favourite for boys. It is the Icelandic version of [name_m]Ingmar[/name_m], as in [name_m]Ingmar[/name_m] Bergman. I think it is more beautiful than the Swedish version, the extra i (and extra syllable) just make it more special in my opinion. Ing is the name of an Ancient Germanic god, and mar means ‘famous’, so it basically means ‘fame of Ing’. The common short version is Ingi (can also be short for other boys’ names starting with Ing, or a name in its own right), cf. Scandinavian/[name_m]German[/name_m] version [name_u]Inge[/name_u]. It is pronounced exactly like it is spelt, like this.
Kjartan - This is a fun name because it’s actually a variation of an old Irish name Muirchertach (which became also Murdoch and Murdo). It used to be Mýrkjartan, but the beginning was dropped. Muirchertach apparently means ‘mariner’, so I suppose Kjartan does as well even though it’s no longer the complete word. It is the name of a famous character from one of the most popular Icelandic sagas, Laxdæla saga: Kjartan Ólafsson, who was the great-grandson of an Irish king ([name_m]King[/name_m] Muirchertach, who he was named after), grandson of another saga hero (Egill Skallagrímsson) and said to be the most handsome man who ever lived in Iceland. I love it because of its history and also just because of how solid and handsome a name it is. The j is as in fjord, and the name rhymes with tartan (like this).
Sævar - This is such a handsome name, it is one of my favourites despite the difficulty of the special character. It means ‘sea warrior’, and is pronounced sigh-var (like this). I love the sound of it, and it makes me think of the sea.
Girls
Svala - This is my number 1 favourite for girls. It is the Icelandic word for swallow, as in the bird. It’s simple and yet very Icelandic pronounced exactly as it looks, like this. It is also a form of the adjective svalur, meaning ‘cool’, as in the temperature.
Lóa - Another bird name. A lóa is a golden plover, a bird with a special significance in Iceland. Iceland is a country where we do not have too many birds that stay over the winter, but we have a lot that come in the summertime to breed here. When the summer birds start arriving, we know that the difficult winter is over, and the lóa is the official herald of springtime! When you see the lóa or hear its distinctive call, it really makes you happy. So this is a big part of why I love this name It is pronounced like it looks, like this.
Ylfa - Although the spelling is borderline too challenging, I still love it very much. It is a feminine form of the word úlfur, meaning ‘wolf’, so it means essentially ‘she-wolf’, which I think is incredibly cool. It is pronounced like the word ‘silver’ without the s (the UK pronunciation without the r, though!) There is a lot of strength in this name, in my opinion.
I hope you found some of those interesting - they are not names you will find on most name sites, anyway!