The sentence contains two independent clauses. Each one stands as a complete sentence on its own:
"One Piece is an amazing anime" and
"I chose not to watch it..."
The two independent clauses are joined by the conjunction "though".
I don't view "though" as a subordinating conjunction here. It would be one, however, if you omitted the verb "is":
"Though an amazing anime, I chose not to watch One Piece because..."