I find it hard to believe someone could listen to every single armored core song and not find a single song enjoyable. I find it somewhat believable that someone could listen to the first few CD's when Armored Core music was mostly grindy acid techno without much melody. But Armored Core music spans quite a few genres, so the former seems weird.
I was going to just go through and cherry pick the best songs from all the games, but
this review does a pretty good job of singling out some of the best songs in the series. Some songs which are missing include: At That Time, In My Heart, Autobahn, etc... Some of the songs listed in the reviews are from remixes which are some of the best I've ever heard from any game period, but aren't featured in this album. But they should just be another bridge to cross upon discovering AC. Also, dunno if linking youtube videos is against the rules but the review links to youtube videos of some of the songs.
At any rate, if you don't like any of the music listed above then idk ./shrug.