Alright, here's a partial gamerip of Kamen Rider Battride War BGM.

Original audio encoding still 44100 Hz, Stereo, 132 kbps, AT3 files

https://app.box.com/s/myq6r41jmvphktcx36mh

Please download Media Player Classic or VLC & latest AT3 Codec (or Encoder i mean) Installer to make the BGMs work.
Enjoy... for now. Sorry for Apple users :(.

I unable to convert AT3 to MP3 like i apologized to Apple & console users. if someone wants to help me making an MP3 version of this BGM, BMG (Be My Guess), no harm feeling.

UPDATED
MP3 Version included

https://app.box.com/s/j9c2mr4fph50lrlp2l3k

You can now able to searched BGM Name under:
*Album: "Kamen Rider Battride War BGM"
*Artist: "Namco Bandai"
=Commonly known for Windows, Apple, Xbox 360, & PS Vita=

Credits:
jose1987

Thanks a lot!

UPDATED
MP3 Version included

Kamen Rider Battride War BGM (http://forums.ffshrine.org/f72/kamen-rider-battride-war-bgm-163332-post2499133/#post2499133)

Could you pull off an extensive version of the Main Menu? That's a favorite honestly!