cryptic crossword vs crossword

cryptic crossword and crossword both are nouns.

Word	Noun	Adjective	Verb	Adverb
cryptic crossword	Yes	No	No	No
crossword	Yes	No	No	No

As nouns, crossword is a hypernym of cryptic crossword; that is, crossword is a word with a broader meaning than cryptic crossword:

cryptic crossword: crossword puzzles in which each clue is a word puzzle in and of itself.
crossword: a puzzle in which words corresponding to numbered clues are to be found and written in to squares in the puzzle

Other hypernyms of cryptic crossword include crossword puzzle.

cryptic crossword (noun)	crossword (noun)
crossword puzzles in which each clue is a word puzzle in and of itself.	a puzzle in which words corresponding to numbered clues are to be found and written in to squares in the puzzle