Busquets and Krkic made it 3-0 by the 22nd minute before Krkic grabbed his second of the night just after the restart in a swift Barcelona counter-attack.
Xavi drove in a powerful fifth three minutes into the second half to pile the misery on Basle.
But Barca coach Pep Guardiola said the win was not as easy as the scoreline might have suggested.
"We will not let the result get to our heads, but it was important for the future," he said.
"It is never easy and the players were always having to work and give their maximum but we did what we wanted to do, running the ball and playing well between the lines."
Barcelona have nine points in Group C, three more than Sporting Lisbon, who won at Shakhtar 1-0 through a 76th-minute goal by Liedson.
A late header from John Terry finally broke Roma's stubborn resistance as Chelsea, still without several key players, moved three points clear at the top of group A.
Chelsea came closest to breaking the deadlock in a quiet first half when a Frank Lampard free-kick skimmed off the top of the crossbar but Luiz Felipe Scolari's side were far from their best.
Cluj sit second in the group on four points after a 1-0 defeat at Bordeaux, who recorded their first win.
Elsewhere in Europe, an Adriano header on the stroke of half- time handed Cypriot minnows Anorthosis Famagusta their first defeat and left Inter in pole position on seven points to progress to the second round from Group B.
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