What can't you do?
ten friends of mine, different stages of being a "science" graduate:
1. Physics - now works for a large multinational IT company as a software developer doing stuff that does orbital calculations for them.
2. Geology - now works as an environment agency field officer (they have a 4x4, some pipettes, and responsibility for water purity measurements and incident response for about 1/4 of Yorkshire). Government departments tend to take ANY science degree for this kind of thing.
3. Biology - Teaches
4. Biology - patent attorney -genetic therapies
5. Biology - customises motorcycles (career change - started out working in a lab, realised that they were tinkering with machines at the weekends and at the weekend and enjoyed the weekend machines more)
6. Chemistry - Financial sector data analyst (this is the best paid person on the list by a LONG way)
7. Physics - Explosive storage design/accreditation
8. Marine Biology - currently working as an English teacher in a college in Thailand as a gap between that and doing anti-plastics patrols in the pacific
9. Physics - Project Manager at Rolls Royce (second highest paid person on list)
10. Molecular Science (me) - about to start a PhD in cyber security - specialist in communicating science and risk.
*bonus entry - Geology - went on to do a PhD in the same... dude has literally abseiled into live volcanoes for the BBC!
Of course, you can do a degree, then a PhD in the same field if you're a committed academic who loves their discipline... but speaking as someone who's spent that last few years interviewing graduates:
Business graduates understand processes and teams
Arts graduates understand ideas
Science graduates understand how to get from an idea to something that works
The world would fall apart without them, and ~80% of my hires have some kind of science background that they rarely use the subject knowledge from, but use the mindset every day.