Daniel Sturridge scored twice to become only the second player – after former Manchester United forward Ruud van Nistelrooy – to net in eight consecutive Premier League fixtures.
But the England striker's brace was only one part of a remarkable story that unfolded at Anfield on Sunday, with five first-half goals setting the tone for a top-flight classic.
It took just three minutes for Sturridge to break the deadlock and Henderson's pinpoint finish put Brendan Rodgers' side in the ascendancy midway through the opening half.
The visitors did show some early promise, but Henderson's superb right-footed strike from the edge of the box seemingly put the hosts in control with 20 minutes gone.
Swansea needed a response and it was provided two minutes later in emphatic fashion by Shelvey, who scored one and set up another in September's reverse fixture, but was also responsible for a dreadful mistake that led to Sturridge's equaliser in a game that ended 2-2.
Shelvey was on the receiving end of a hefty challenge from Martin Skrtel and the Liverpool defender then appeared to get a decisive touch on Jonathan de Guzman's subsequent free-kick, which had been headed goalwards by Bony, wrong-footing Mignolet.
The breathless pace of the game continued and, remarkably, Rodgers' men were ahead again before the interval, Sturridge doubling his tally with a neat back-post header from Luis Suarez's cross.
Suarez almost joined the fun himself, lobbing an effort from the halfway line just wide of Vorm's goal.
Yet just as it appeared as though City boss Garry Monk would earn a point against his former manager, Suarez's stinging effort was turned into the path of Henderson to poke home from inside the six-yard box.
