Runaway Princess Valkyrie
Princess Valkyrie runs away from home when she’s given boring old sweet potatoes as a snack instead of delicious cake. Later in the day, an enchanting kiss leads to something big!
Aired 21/09/2005EP 5 - Runaway Princess Valkyrie

2005
UFO Ultramaiden Valkyrie 3: Bride of Celestial Souls' Day
The third season doesn`t have a particular story behind everything (like "Valkyrie Ghost" in the second season). It just tells 6 stories about the life of Kazuto & Co. with some additions: Raine and Chorus get a house on earth, the last three Valhalla princesses each get an episode, and in the last episode Kazuto and Valkyrie, who in the same episode managed to stay adult, >try< to marry again.
(Source: Anime News Network)