Hmm.
manipulation of Motivation.
The prismrivers, to a degree, can do that. So can any phantom
As to the first response in the topic, Magic is an ability. And most magicians/magic users have a certain specialty.
The Tsuchinoko is a creature that manipulates plants.
And Yuuka has the Manipulation of Flowers. While Flowers are plants, plants aren't strictly flowers.
Summoning
Healing/Reviving spells/powers
Purification
Shikigami can be summoned, so Yukari has that ability. Healing/Reviving powers...there's alot of those. Mokou, Kaguya, Yoshika, and Seiga.
Wind and earth
Aya, Tengu in general, Patchy, Kanako, Sanae, Tenshi, Suwako, Patchy once again, the giant catfish.
Power to cause disaster
Power to cause suffering
In a way, Tenshi, Medicine, Remi, and maybe more can cause disaster and suffering. Toyohime carries a fan of mass destruction.
Suika can sort of do that.
If my memory serves me correctly, density and gravity are no where near the same thing.
Power to control Miasma
Power to control parasites
Necromancy
Power to cause Calamity and Disasters
Medicine? Wriggle? Seiga? Tenshi can do that. Though most of all would be a dragon.