General synonyms:
* Labyrinth
* Tangled web
* Labyrinthine path
* Network of paths
* Puzzle
* Tricky route
* 迷宮 (迷宫, mígōng - Chinese)
* 迷路 (迷路, mílù - Chinese)
More specific synonyms:
* For a physical maze:
* Hedge maze
* Corn maze
* Puzzlescape
* For a metaphorical maze:
* Dilemma
* Conundrum
* Complex situation
* Dead end
* Impasse
The best synonym will depend on the specific situation and the nuance you want to convey.