To begin, here is Frere Jacques. I decided to take a turn and make it about the resurrection of the dragons, just to add in that extra Skyrim kick. 

Zeymah Dovah, Zeymah Dovah,

Dreh hi praan? Dreh hi praan?

Alduin los vokrii,

Alduin los vokrii.

Alok, bo. Alok, bo.

Brother dragon, brother dragon.                    (lit. Brother dragon, brother dragon.

Do you rest? Are you dead?                           Do you rest dead? Do you rest dead?

Alduin is returning.                                       Alduin is unkill

Alduin is returning.                                       Alduin is unkill

Rise and fly. Rise and fly.                               Rise, fly. Rise, fly.)

This is cute! I like that it keeps the meter of the original. Pruzah pel!

Here's a Christmas favorite of mine: "Hark, the Herald Angels Sing"  with some Skyrim flare.

Huzrah! Faal hahlot hun lovaas,           (lit. Hark! The revered heroes sing,

'Moro wah faal Dovahkiin!'                          Glory to the Dragonborn!

Drem nau Taazokaan, aaz unahzaal.          Peace in Tamriel, mercy endless,

Jul ahrk fahliil ney loost drem.                    Men and mer now have peace.

Kah, pah reyliikke alok.                               Proudly, all races rise.

Aav fin lot zind do fin lok,                           Join the great triumph of the skies.

voth Thu'um med lokzii zaan:                    With Voice like angels shout,

'Moro wah faal Dovahkiin!"                        'Glory to the dovahkiin!')

I like it. You should do more!