I've been searching around for a while now and I haven't had any luck in finding an efficient method of creating pure bromine liquid. Any help would be much appreciated.

electrollysis of a bromine salt using graphite electrodes

If H₂O₂ is a stronger oxidiser than bromine (I'm not sure it is)you could do the following.

We'll assume you're using sodium bromide.

 

1) add HCl to an aqueous solution of NaBR so you have:

Na+, Cl-, H+, Br-

in solution

 

2) add H₂O₂ to the solution. The peroxide will oxidise the H+ to H2O and Br- will turn to Br₂.

Bromine will form over chlorine because it is a weaker oxidising agent.

It's a bit dangerous, but NaBr + H2SO4 = Na2SO4 + Br2 + H2O + SO2