Tanaka allowed seven earned runs on eight hits and two walks before exiting after just 2 2/3 innings.
Archer handcuffed the Yankees, allowing two runs on seven hits and a walk while striking out five. The only blip on his line came in the second, when Starlin Castro and Chase Headley cobbled together one-out singles and scored on Aaron Judge's double and Ronald Torreyes' grounder to left to cut the Rays' lead to 3-2.
It was the Yankees' sixth consecutive Opening Day loss, a franchise record. The Bombers dropped five straight openers from 1934-38.