> 
> One of the things that **makes** him great is he brings it every night.
> 
> 
> 

I'm pretty sure it should be *that make him* in the plural, because one of the things is referring to a lot of things and a lot of things should take a plural verb. But I always hear native speakers in America say it in the singular, so with an *s*.

Another example:

> 
> This is one of the responsibilities that **comes** with greatness and he understands that.
> 
> 
> 

Native speakers always use the verb in the singular (here, *comes*) even though [I believe] it is grammatically incorrect to use the singular form of the verb there.