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Hey there! Recently picked up a Master of Executions for my fledgling Black Legion warband, but I've already kinda fluffed him as an ex-Emperor's Children, Slaanesh devotee. It's not to say that Slaanesh worshippers can't have axes, or that Emperor's Children didn't, but I kinda want to replace it with a big wide broadsword. Any kits that might have such a weapon, preferably on the right hand (as looking at the model head on)?

My immediate thought is the power sword from the new chaos terminator kit.

Or maybe check out Age of Sigmar for a sword from a stormcast?

Quick scan of the usual bits sites mostly turns up sabres/scimitars, but as a quick rundown:
Victoria Miniatures sabres
Mad Robot Miniatures power scimitars
Maxmini daemon swords
Anvil Industries combat blades, though they also have spears that might work.
Sabres, tactical swords and two handed/long swords from puppets war.
long handled and short handled two handers, and another combat blade type from kromlech.

Of course, then there's silly big and wide options like the nemesis dreadknight, as demo'd by this excessively enthusiastic ork:

There are the ever so popular Chaos Knights from Fantasy/AoS that come with a couple of ensorcelled swords on right, gauntleted arms, sporting a Chaos look already.

I don't now how broad exactly you're looking for, but I think they might be considered broad swords.

Just an aside....a broadsword strictly speaking is a double edged sword with a basket hilt used from the 16th to the 18th century.. 18th and 19th century writers used the term incorrectly to identify either arming swords or longswords.