I may have been offended by games, but I can't recall anything atm. There are things though that seriously bother me.
1) Sex and nudity
It boggles my mind that microwaving people, steamrolling people, woodchipping people, and deskinning people are all fun and games, but showing a penis is something we all need protection from. Under our clothes we're all naked (gasp!). I think full body nudity is something that should not be a problem in games, and that male and female nudity should be shown in equal measure, 50/50.
2) Sexism and sizes
I'm beyond disgusted at how females are constantly portrayed in games, the whole "chainmail bikini" thing. Not just games but manual art, boxcover art, cutscenes and ads. Females always seem to be big-breasted, toned, nymphos running around in things that would make strippers jealous. The CONSTANT portrayal of females as being nothing more than sex fantasies really bothers me. I'm also bothered by females being portrayed as girls, not women, complete with pigtails, bows and ribbons.
I dislike how females invariably have tops that draw attention to their breasts, such as by too-tight blouses, or half-cut bikinis, or pasties. When was the last time you saw females that were flat-chested? When was the last time you saw females where their breasts were completely covered by bulky clothes or flat armor?
I also really dislike how all males are neutered in games. Why is there so much enlargement of women's breasts while men's genitals disappear? Not only do you never see men's erections while females' poking nipples appear a lot, but the average male never has a bulging crotch. What, are all video males actually Ken dolls? It's very unrealistic and jarring to me to constantly see men with flat crotches. I'm at a loss as to whether I've seen flat women or bulging men more... they're both negligible.
3) YMHWCM
Most of the games I've played (which are admittedly few), force you into playing a character with the values of a Young Middle-class Heterosexual White Christian Male. I get tired of games locking me into this character... why can't I make my person be what I want? Why do I have to be a YMHWCM all the time? I get tired of being called "kid", tired of having some female forced on me as the ubiquitous love interest, tired of being white in an all white world, tired of being male. There's nothing wrong with these things, I'd just like the ability to craft my own PC. Why can't I be Asian or Indian or Latin? Why can't I be bi or gay? Why can't I be female? What if I want my PC to be an older black female lesbian, or a horny middle-aged bisexual latino? How hard is it to just let me choose my own skin color and gender? Why do so many games lock me into playing a YMHWCM?
My two cents.