This can only be achieved in Arcade Classic mode and I would recommend setting the game settings to "very easy", 5 lives, and auto bomb on and whichever character you feel comfortable with (I would recommend Fighter EX).
Pick "Arrange" mode, then choose normal play with story on or off. You must play through all 8 levels without continuing and beat the extra boss at the end of the game (stage 8). With auto bomb on you will activate a bomb if you get hit so it shouldn't be that hard and the bosses die in 5-10 seconds on very easy.