The right-back made the move from Crystal Palace to Old Trafford for a fee of £50million last summer.
Shaw told the club's website: "I can't look past Aaron Wan-Bissaka. For me, he's been the most consistent player this season,' he told the club's official website.
"If you look back at all the games we played, I can remember only one mistake, for the penalty at Watford, and that has literally been it.
"He has been a solid eight out of ten in every other game he's played, never puts a foot wrong, puts his foot in the right position every time and, for me, he's the best one-v-one defender in the world.
"No-one can get past him, he's really improved that side of his game and his attacking side too.
"You can see Azza is learning each day and wanting to learn more too. He's been a superb signing for us, so I have to have him in there."