Ovie Ejaria, Tom Clayton and Elijah Dixon-Bonner were all on the mark for Neil Critchley's team.
The home side, managed by former Reds star Craig Bellamy, took the lead from the penalty spot but Ejaria soon pounced to level the scores.
Anderlecht regained the lead before Clayton made it 2-2 following a header from a free-kick.
Dixon-Bonner put the Reds 3-2 up with a superb strike but the home side earned a share of the spoils with a last minute equaliser following a set-piece.
Reflecting on the draw, Critchley told Liverpoolfc.com: “It was a really good performance with lots of positives to take.