Power of the Storm

""All the power of the storm, from all the world, flows through my veins, and can be summoned by mine hammer at any time, wherever it is. A lightning storm in Japan? Mine. A hurricane off the coast of Barbados? Mine again. A brace of tornadoes in Kansas? Aye...mine. All that might, all that destructive force, mine to command. Channeled and guided through the mystic might of this hammer, guided right at thee!""

- Thor

Simply put, this is the ability to manipulate the weather. It is a Stock Super Powers.

This usually includes manipulating, the Wind, water, ice, electricity and thermal manipulation. Storm manipulation is very versatile. For example, using the wind, some storm manipulators can fly and as everyone knows Lightning Can Do Anything.

Sometimes these powers are used for Painting the Frost On Windows. The difference between Elemental Powers and storm manipulation, is that storm manipulation is limited to the elements that make up a storm. That means ice manipulation, water manipulation, lightning manipulation, and wind manipulation. Compare with Weather Control Machine, where you need a dash of phlebotinum to achieve the same ends.

Anime and Manga

 * Darker Than Black: April.
 * One Piece: Nami's Clima Tact gives her the ability to manipulate the weather.
 * Cardcaptor Sakura: The Storm card that has the ability to create Tornadoes and summons huge rainstorm.
 * Fate Testarossa, as well as her mother Presea, demonstrated the ability to conjure thunderstorms in Magical Girl Lyrical Nanoha. However, Fate never uses it in later seasons, preferring more local applications of her lightning-based abilities.
 * Naruto: Darui uses Storm Release by combining water release and lightning release.
 * Pokémon: Groudon, Kyogre and Rayquaza. Groudon's storm manipulation is limited to creating Sunlight. Kyogre has the ability to create rain and lightning. Rayquaza has the power to negate the powers of the two others.
 * Mewtwo also initiates a big storm in the movie.

Comic Books

 * Thor: As the quote indicates, he is the God of Storms. This is one of his main abilities, and he is the Trope Namer.
 * X Men: Storm's mutant abilities allow her to create storms and manipulate wind, rain and lightning. Using the wind she can fly.
 * Incredible Hercules: Zeus, much like the character from Classical Mythology.

Folklore and Fairy Tales

 * The Snow Queen: Although, as her name suggests, she's limited to manipulating Snow and Ice.
 * Mother Nature.

Literature

 * Percy Jackson and The Olympians: Zeus and his children.
 * In addition, Poseidon and his children have this ability, but they're limited to Sea-Storms.
 * Tris, the weather-witch from the Circle of Magic novels. Her book is even called "The Power in the Storm" in the British edition.
 * Cyclone and Mistral from Wild Cards are wind-controllers.
 * Played for laughs in The Hitchhikers Guide to The Galaxy, wherein one very minor character is, unbeknownst to himself, a "rain god", with the power that it always rains wherever he is. Always.

Live Action TV

 * The X-Files: Holman Hartz. Controls the weather instinctively: when he's sad, it rains; when he's enthralled with joy, smiling faces appear in the clouds. And when he's on the verge of a mental breakdown, all hell breaks loose.
 * Lilith in Buffy the Vampire Slayer.
 * Used as a motif in Ninpuu Sentai Hurricaneger and Power Rangers Ninja Storm, though the Rangers' actual Elemental Powers don't fully reflect it. (One faction, the Thunder Rangers, does control lightning, but the Wind Rangers' powers align with Land Sea Sky instead.)
 * Thats the power of the Weather Dopant in Kamen Rider Double

Newspaper Comics

 * In a Story Arc in Peanuts, Linus discovers he has the power to end rainstorms by singing "Rain rain go away/Come again some other day." He's really freaked out by it.

Religion and Mythology

 * Most religions have at least one Weather God, and the Weather God is frequently the most powerful or one of the most powerful gods in their Pantheon. Set, in particular is the Ur Example.
 * Jesus calmed a storm in The Bible.
 * Japanese Mythology: Yuki-onna and Susanoo.

Tabletop RPG

 * Villains and Vigilantes, The Weather Control power allows a character to summon a variety of weather types, each of which gives appropriate attack forms (e.g. a blizzard gives Ice Powers, obscures vision and causes high winds).
 * In War Craft one of the three elements of the Orcish shamans is "Storm".
 * In the Champions supplement "The Coriolis Effect" the heroine Coriolis was given a variety of powers that effectively allowed her to control the weather over a wide area.
 * Dungeons and Dragons: The Control Weather spell allowed general changes in the weather, such as the degree of cloudiness/precipitation, how hot or cool it was and the wind strength. The Weather Summoning spell allowed the caster to call up a specific type of weather such as a blizzard, tornado, thunderstorm or hurricane.

Toys

 * Bionicle: Elemental Powers such as Ice, Air and Water can be used to manipulate the weather in regards to the power.

Video Games

 * Mallo from Super Mario RPG has this ability.
 * Touhou: Tenshi Hinanawi has a sword that gives her this ability.
 * Although his actual control is limited, in The Legend of Zelda Ocarina of Time and its sequel Majoras Mask, Link can make it rain anywhere (even, sometimes, inside), by playing the Song of Storms.
 * 'Pokémon'':
 * Groudon, Kyogre, and Rayquaza are embodiments of land, sea, and sky, respectively. Groudon can summon heavy sunlight, Kyogre can summon rain, and Rayquaza can nullify existing weathers.
 * The Vulpix, Hippopotas, and Snover lines, as well as Politoed and Tyranitar, can summon various weathers; sun and rain as mentioned, but also sandstorms and hailstorms.
 * Castform can use all weather-summoning moves, transforms in the presence of weather, and had a Signature Move that altered with the weather.
 * The Shaman class in World of Warcraft have several Storm-based spells. Lightning Bolt, Thunderstorm, and Healing Rain just to name a few.

Webcomics

 * The Cyantian Chronicles: Certain events in certain chapters point toward Vin being able to control the weather, or at least make it rain. A lot.

Western Animation

 * Winx Club: Stormy. It's even in her name! Also Icy to an extent. She can manipulate Ice and snow.
 * My Little Pony: Pegusai.
 * Danny Phantom villain Vortex has this power. Given the nature of ghosts in this series, he may well be the Anthropomorphic Personification of storms.