Tweester

Tweesters are tornado-like enemies found in many Mario games that try to touch Mario so that he flies up into the air and lands somewhere that he doesn't want to land. In most of the games they cannot harm Mario directly and can only force him into a more dangerous situation. They are usually found in desert levels and rarely water levels.

Super Mario Bros. 3
In Super Mario Bros. 3, their only appearance was in the Desert level of Desert Land, where they would trap Mario in an air pocket and move him backwards. The only way to get past one was to run at it head on, which would cause Mario to fly into the air.

Super Mario 64
In Super Mario 64, when Mario touched one of them, he would fly through the air for a few seconds. They appeared in Shifting Sand Land.

Paper Mario
In Paper Mario, the first game where they had nasty faces, they would blow Mario one screen north and one screen east in Dry Dry Desert. It is highly recommended not to touch them, as Mario could easily get lost in the vast sands. However, one particular Tweester (in an area with blue cacti) could blow Mario near a Badge on top of a high rock, and this Badge could not be reached by any other means.

Super Mario Galaxy
Tweesters appear in Super Mario Galaxy; however, instead of having mean faces, here they have big white eyeballs, no mouth, and they are actually a bit helpful. However, the garbage they are flinging around can hurt Mario if he makes contact with it. Also when Mario touches one, he will spin around. Then he has to do a Spin, and the Tweester will make him go flying in the air while Mario spins his arms around very quickly like a helicopter. This allows Mario to fly like a helicopter for a very short time. Tornadoes that look like Tweesters only without the face also appear in this game. Luckily, they can't hurt the player if they don't have garbage flinging around. As usual, these Tweesters appeared in the desert galaxy.

Mario Party Series
Like many other minor enemies, Tweesters were featured as Capsules in the Mario Party franchise. In Mario Party 5, a Tweester Capsule would send the Star to a new location, echoing the roles of the Lucky Lamp in Mario Party 3 and the Chomp Call in Mario Party 4.

In Mario Party 6, there was a Tweester Orb that, when the other person touched it, would steal coins from them.

In Mario Party 8, it is possible that the Bloway Candy's is related to a Tweester.

Other
A Tweester served as an obstacle in the Dry Dry Desert stage of Mario Kart: Double Dash!!.

In Dance Dance Revolution: Mario Mix a Tweester attacks the S.S. Brass, making it spin out of control. This Tweester appeared on an island, and not the desert.

Tweesters are also seen in Super Mario Sunshine, where they are created by Petey Piranha in the 2nd battle.