Hardly. You certainly wouldn't need to know maths for a degree in Law or Politics. You don't even need to know maths for a career as a data scientist.
More than anything, an aptitude for logic would prepare someone well for the future job market.
For the degrees you're considering, your subjects are 100% perfect. Technically speaking, you only need 3 of those for absolutely any university, including Oxbridge, LSE and the like. Doing 4 will not give you an advantage whatsoever and none of the subjects are considered more impressive either (Oxbridge have confirmed both of these statements). See which one you don't enjoy too much or the one that you think will pose difficult to get a good grade, and then just drop to 3 A levels.
Again, any and all combinations of the 4 A levels you've chosen are 100% fine. None of them are too similar (even Classics and History); choose to continue with the 3 that you'll enjoy the most since that'll motivate you to do well.
As an aside, for any essay based degree (especially in the Humanities subject area), I'd personally recommend continuing with A level History since it arguably prepares you the most for university level essay writing, research and analysis. However, if you prefer the other 3, that's completely fine as well!