Check this one, I have it.
TORRAS Ultra Thin for iPhone 11 Pro Case with Screen Protector [1 Case + 2 Screen Protector] Matte iPhone 11 Pro Case Cover Anti-Fingerprint Shockproof Mobile Phone Case for iPhone 11 Pro-Black
www.amazon.co.uk
I also had it on my previous iPhone. You won't get thinner, a very sturdy case and comes with a decent screen protector. It won't offer as much protection as some others but it is thin enough to not make your phone look bulky. Doubt you will find it in green.