現実場面では気★いが山のように出て事件も死ぬほど起こしてて
"In real world, there are a lot of crazy people, also committing far too many crimes". As has been pointed out, "気★い" is "気違い" with a letter masked, which is analogous to writing "f*cking" instead of "fucking". This sentence sounds like it's taken from a transcript of an interview, and this particular word violates the publishing/broadcasting industry's common guideline for discriminatory words. (This is where you'd picture the editor and the interviewee going back and forth. See the meaning of the next sentence and it'll be clear.)
"死ぬほど" is a word that exaggerates the issue at hand. Its literal meaning would be something like "(so much so that) it'll kill", but it's like how Samuel Jackson uses "fucking" in Pulp Fiction; it can be used for almost anything, but it won't make you sound intelligent.
タブー云々と言ってるうちに表現が現実に負けちゃってるじゃん、最近って
"We make big deal out of this guideline [in our industry], but nowadays those are behind the reality". The speaker is saying he thinks those industry internal guidelines are a joke, when you see far worse (mentally picture mass murderers and psychopaths) in the real world.
You can tell that the speaker is a performer of some sort (probably a comedian), someone in the industry. He isn't articularing it very well, but the reader does feel his sense of vague dissatisfaction with rules under which he has to operate.
"タブー" is the literal translation of the word taboo, but in this context it refers to the aforementioned guideline. "Taboo" is actually quite an apt choice here because they not only use these words deemed discrimanatory, but they also do not talk about the existence of the guideline itself. (Remember the first rule of the Fight Club, everyone?)
俺も別に奇をてらってタブー演るわけじゃなくて
"It's not like I perform [acts] that goes against those guidelines just to garner attention." "奇をてらって" is "do something strange or eccentric" or "try a new thing". "タブー演る" is "タブーを演る" with a particle dropped. It refers to his performing some kind of acts that actively use the words that violate the guidelines.
BTW I don't think it's normal to write "演る" and have it read "やる". You either write it like やる (verb:do), or 演じる (verb:play) and read えんじる.