1st vs 2:1 for Strategy Consulting

Short answer - 2:1 is fine.

Longer answer - A 1st would obvioulsy be better, but if you're already at Oxbridge / LSE, the value added will be lower than if you came from, say Leeds. Since you already have the "university name" part down and are on track for a solid grade with your 2:1, the main thing is to ensure you also have:

1. leadership experiences through extracurriculars if possible (any society / sports / or thing outside of university where you did more than just show up)
2. ideally an internship at a top organisation (industry isn't super important, as long as it's one of the better firms in that)
3. (maybe) a referral, can't hurt

Since you have most of those already, it will be about the prep + ensuring your CV / cover letter are up to par:

• emphasise outcomes and not processes / tasks
• display qualities you know are value by strat consulting firms (easy peasy, go on website, About Us section, and look at the "Core Principles" or whatever they're called at each firm)
• have a good story for why consulting (it is fine if the story is that you want to build a diverse skillset in the short to medium term before exploring further opportunities later in your career)
• obviously prep the online tests + case interviews + behavioural questions (STAR method only for those, never deviate) properly