Well I do categorize people in some way but my natural way is different from yours (Santuu). It's more like: makes my day better-makes my day worse. Gives me a lousy mood-makes me have fun. Is happy-is unhappy. Has a positive outlook on life-has a negative outlook on life. If a person fits all the negative criteria at any given time...well, I'll likely avoid hanging out with him/her. Sometimes though my criteria can be "weird"...for example there are some people that I know that are introverted and have a bit of a dark humor/seem not to talk much, but I like hanging out with them anyway, so there is no objective standard for my judgement, it's more an instinctual impression. I have a friend that is a bit like type #1 in your list, my girlfriend always asks me how can I be friends with him; I don't know, I just like his dumb jokes, his negativity is sometimes funny to my eyes, and I suppose he also enjoys the fact that I like it since he calls me to go out. On the other hand there are some guys that are really successful in their lives but that I consider as dumber than me, slow, just hard-working for nothing, not physically fit - in that case I will treat them like dirt and consider them inferior...but I don't feel guilty for it. I don't know how it works in my mind, really.
If I categorize people in terms of better/worse, I do it only a really specific task, like I know some of my friends are faster than me, some others have more endurance, etc. so for example if I want to go for a long hike I will likely ask my friends that have a good endurance and like/are good at that type of activity.
Competitive element? I don't think about it in my day-to-day life, I only become competitive when I'm in the processo of a race, test, or whatever. And I don't like it, because I feel like I lose friends whenever I am competitive (I have an on-off switch, nothing inbetween, cannot be modulated).