Yismachu Hashamayim, at the end of Shiru L'Adonai (Psalm 96) is often repeated with this niggun: Yismachu Hashamayim
Adonai Malach Ge'ut Laveish, or Psalm 93, a slow and haunting niggun: Adonai Malach Ge'ut Laveish
Another, more traditional, version of Tzadik Katamar: Tzadik Katamar
Mizmor Shiru L'Adonai, or Psalm 98, is a beautiful niggun during which it is not uncommon to have everyone up on their feet singing and dancing: Mizmor Shiru L'Adonai
Adonai Malach Tageil Ha'Aretz, or Psalm 97: Adonai Malach Tageil Ha'Aretz
Shiru L'Adonai, or Psalm 96, one of the most lively and inspiring prayers of the whole evening: Shiru L'Adonai
Mizmor L'David, or Pslam 29, a very profound and intense prayer: Mizmor L'David
Here is one additional version of Yigdal, one of the more traditional niggunim:: Yigdal
Here is another version of Yigdal, a closing prayer to the shabbat service: Yigdal
At then end of Psalm 92 is Tzadik Katamar, a gentle and soothing niggun: Tzadik Katamar.
An introduction to the Learn Shabbat podcast series: Learn Shabbat - Podcast Introduction