Steam - 80% off BlazBlue Centralfiction - $11.39 or BlazBlue Collection (inc BlazBlue: Calamity Trigger, BlazBlue: Continuum Shift Extend, BlazBlue: Chronophantasma Extend, BlazBlue Centralfiction) - $21.91
https://store.steampowered.com/app/586140/BlazBlue_Centralfi…
or
PlayStation 4 BlazBlue Centralfiction - $11.69
https://store.playstation.com/en-au/product/EP4293-CUSA04629…
or
Switch BlazBlue Centralfiction Special Edition (inc the extra character DLC) - $21
https://ec.nintendo.com/AU/en/titles/70010000013510
Graphics is a bit sharper on the PC/PS4 than Switch.
The Steam BlazBlue Collection is good value if you are after the story mode.
If you are just after the fighting, Centralfiction provides is probably the best option, it also provides a re-cap of the prior story.
The Switch version has DLC additional four playable fighters.