My approach is always to ask myself:
"Is this thing I want to put in my story honestly so interesting, funny or plot-essential, that I really can't leave it out or replace it with something else?"
In the vast majority of cases, the answer is "NO."
Like suppose a character just did something very silly indeed. And my immediate thought is "Haha, it would be funny if somebody said "Woah, he's crazy!", and then I might stop and go "Hm, actually, people don't really like the word 'crazy' these days, I don't want to be seen as stigmatising mental illness..." It's really not that hard to simply decide to have the character responding to the odd behaviour say something else, and the thing I come up with might be funnier. "Yeah! live your dreams!" or "I'm not with him!" or even just stunned silence might all be funnier responses than "Woah, he's crazy!"
Or let's say, I need a character who is a fashion designer, and I also feel like it'd be nice to have a gay man in my story to reflect real world diversity. Well, yes, I could have the fashion designer be a catty camp gay man who is always screaming hysterically at his poor downtrodden female assistant... but come on... let's put in some effort! So! The fashion designer is a messy, anxious straight woman who hates dealing with people, and then she has a gay man who is her assistant who is say... a friendly, chubby guy with a beard who projects a zen-like calm, but has the capability for deep, unrelenting fury if you upset his boss.
So now instead of some really dull, stereotypical characters, I have a pair of actually pretty interesting and fleshed out feeling characters who aren't just stereotypes.
Like yes, it may sometimes require a little extra effort, like googling things, or asking some friends from a marginalised group about words or stereotypes, or spending a little extra brainpower when drawing minor characters like "does this doctor in the background need to be a white dude? Why not a lady in a hijab, that'd be cool." But it adds so much texture and often really makes somebody's day so... I'm perfectly happy to do it! 
I actually quite like the work of Tarantino, and I feel like his violence is so over the top and ridiculous, it never really feels like it makes violent actions look fun. Killing people in a Tarantino movie is nasty, dirty work that leaves you exhausted and probably hurt. I think that's in some ways quite a responsible approach compared to something like old Bond films where bond effortlessly shoots bad guys, adjusts his pristine tux and strolls into a party for a martini.