A series is a related set of things that occur one after the other (in a succession) or are otherwise connected one after the other (in a sequence). The specific meaning depends on the context.
In science:

Bubble Bobble: bubandbob.com - The largest Bubble Bobble web site, covering both the Bubble Bobble and Puzzle Bobble/Bust-a-Move series
Unofficial Bubble Bobble Home Page - Images, box art, and FAQs for the games in the Bubble Bobble series.
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Bub and Bob Music Page - Contains music from the game series.
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Bubble Bobble HQ - Resources and information about the classic Taito arcade platformers and puzzle games such as Bubble Bobble and Rainbow Islands.
Meta Description: [ Bubble Bobble And Taito Information And Downloads. ]
Bubble Bobble World - A shareware remake of the original game. Includes downloads, features, and screenshots.
Meta Description: [ Bubble Bobble World game - free Bubble Bobble Series download ]
Bubble Bobble: The New Adventures - Information about the remake, screenshots, and features.
Meta Description: [ Bubble Bobble: the New Adventures Game Home Page ]
Bubble Pop - A game similar to Bubble Bobble, from Software of Sweden.
eLook (Game Boy Color) - A list of level passwords.
GameOver-Games: Bubble Bobble Nostalgie - Describes remake for Windows, with screenshots and demonstration version download.
GameSpot: Bubble Bobble featuring Rainbow Islands - Reviewed by Tal Blevins. Includes screen shots and reader ratings. Score: 4.4 out of 10.
Meta Description: [ Bubble Bobble featuring Rainbow Islands for PC - GameSpot offers reviews, previews, cheats, and more. Count on us for all of the latest on the Bubble Bobble featuring Rainbow Islands Computer Game. ]
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