Scrabble vs word game

Scrabble and word game both are nouns.

Word	Noun	Adjective	Verb	Adverb
Scrabble	Yes	No	No	No
word game	Yes	No	No	No

As nouns, word game is a hypernym of Scrabble; that is, word game is a word with a broader meaning than Scrabble:

Scrabble: a board game in which words are formed from letters in patterns similar to a crossword puzzle; each letter has a value and those values are used to score the game
word game: any game involving the formation or alteration or discovery of words

Other hypernyms of Scrabble include board game.

Scrabble (noun)	word game (noun)
a board game in which words are formed from letters in patterns similar to a crossword puzzle; each letter has a value and those values are used to score the game	any game involving the formation or alteration or discovery of words