The first game is actually the same name as the series
Yes it is, it is the first game of its series.
They don't say, but Banjo (not Kazooie) first appeared in 1997 inside the game Diddy Kong Racing. They had their own series called the Banjo-Kazooie series in 1998 with a game called Banjo-Kazooie to start off the series
The first game in the series The Legend of Zelda was just called The Legend of Zelda which was released in 1987 on the NES.
The New York Yankees and the New York Giants played the first game of the 1923 World Series in the home park of the Giants called the Polo Grounds.
MechWarrior is an action simulation game online, however there is also the video version called MechWarrior (or Battletech in Japan), which is a first person action video game and which was the first game in the MechWarrior series.
The first baseball playoff to be called a "World Series" was the 1903 series between the Boston Red Sox and the Pittsburgh Pirates. In the first game, the starting pitchers were Deacon Phillipe and Cy Young. Since the Red Sox were the home team, and the visiting team bats first, Cy Young would have been the first person to throw a pitch in a game that would be considered part of a World Series.
A rubber match (or rubber game) is a match where the winner of that match wins the series. In a three game series tied at one game a piece, the third match is the rubber match. The third match is not called a rubber match if one team already won the first two games and is going for the sweep.
The mascot of the Game & Watch series is called Mr. Game and Watch - he first made an appearance was in a GameCube game, Super Smash Brothers Melee. Game and Watch may refer to a series of gaming systems, or games playable on those systems.
The first World Series was played in 1903
It could be called both but is usually called a 'series'.
Nintendo's first video game handheld was the Game and Watch series.