1- Accept, from "accept strategy games". In this sentence the writer lists what he likes and looks to exclude strategy games from it, so he should use the word "except" which means "not including", instead of the word accept which means to agree with something.
2- Too, from "I already have too different video game consoles". In this sentence the writer wants to express an amount or quantity, so the number "two" should be spelled out, instead of the word "too" which means "in addition or also".
3- Than, from "than the second one i bought...". The author is trying to continue the sentence by listing things, so the word "then" should be used instead of the word "than", which is usually used to draw comparisons.
4- They're, from "they're lawn is huge". They're is a contraction of words meaning "they are", and in this case what should be used is a possesive pronoun to explain who the lawn belongs to. So in this case the possesive pronoun "their" should be used instead of the contraction "they're".