From the Super Mario Wiki
Super Mario 64/Super Mario 64 DS
In Super Mario 64 and Super Mario 64 DS, they are found in Cool, Cool Mountain and Snowman's Land. They can be defeated by running around them, just like Mr. I. In the remake, Wario can defeat them with one punch and Yoshi can melt them with fire breath while under the Power Flower's effects.
In Super Mario 64 DS, as with many of the enemies, their look was updated, though their attack pattern remained unchanged. They now have a zigzag mouth, wear a blue bucket and have a yellow mitten instead of a yellow one with a single pink stripe. Their faces resemble those of Freezies. They also die by spinning until they shrink (similar to Mr. Is), instead of falling on their side and shrinking.
Mario Pinball Land
In Mario Pinball Land, they appeared as one of the many residents of Frosty Frontier. This time, they don't hurl snowballs and unlike many other enemies in the game, they can't be defeated simply colliding with Mario.
Dance Dance Revolution: Mario Mix
Mario Kart series
Mario Party series
Mario Party 3
Mr. Blizzard's first appearance in the Mario Party series was Mario Party 3. In this game, they appear as a battle partner. As a battle partner, Mr. Blizzard has 3 HP and 1 attack point. His special ability allows him to always hit the farthest target.
Mario Party 4
Mario Party 5-7
In Mario Party 5, Mario Party 6 and Mario Party 7, Mr. Blizzards appear as the Mr. Blizzard Capsule. When an opponent lands on the space with the orb, a Mr. Blizzard falls on the player, causing them to lose all their orbs.
Mario Party Advance
One Mr. Blizzard appears in Mario Party Advance, at the Ice Stadium. He is practicing his pitches when the player arrives, and he challenges the player to hit a home run. The player has five chances to hit a home run, and if this is done, Mr. Blizzard rewards the player with the Gaddget Mini Slugger. The ending states that he is practicing throwing a fastball in the minor leagues.
Mario Party 8
Mario Party 9
In Mario Party 9, only two Mr. Blizzards appear, larger than their past incarnations. They are in the minigame Snow Go, in which they attack the player by tossing snowballs at them. Getting hit by a snowball results in the player being frozen. In the Museum, a constellation called Cold Guy based on the snowmen can be purchased.
Mario Party: Island Tour
In Mario Party: Island Tour, Mr. Blizzard is the third boss to be fought in the Bowser's Tower mode (being faced off against on the fifteenth floor). He hosts the minigame, Mr. Blizzard's Snow Slalom, where the player rolls into him with snowballs. Meanwhile, Mr. Blizzard throws damaging snowballs at them.
Paper Mario: Sticker Star
Names in other languages