I'd like to know what are some extremes. My mother tongue is Japanese, and it's quite less tense-sensitive compared to English since it doesn't have the past-perfect. But I wonder what some even less tense-sensitive languages are like. And I'm also curious what kind of other tenses does some languages that are even more tense-sensitive than the English ones.
English only has two tenses, not unlike Japanese; but definitely unlike Japanese, it is only now in the process of developing an aspect system from idioms and auxiliary constructions. Japanese verbal morphology is largely a matter of aspects, and English doesn't have an aspectual system anywhere near as neatly-organized as Japanese does.
Japanese is SOV, English is SVO; both are inflected, but not too much.
Another kind of language with no tenses but a very full aspect system is Lushootseed, which is polysynthetic and verb-initial. But it's not VSO, because it doesn't allow full noun NPs of both Subject and Direct Object in the same sentence. If both are referenced, one must be a pronoun, usually expressed by inflecting the root.