I emailed Epic Story Interactive, and they said that Story Mode is in development and is coming soon. Besides that, here's a list of characters and Beys currently in the game.
Beyblade Burst Season 1 Characters
Valt Aoi
Shu Kurenai
Rantaro Kiyama
Ken Midori
Daigo Kurogami
Wakiya Murasaki
Hoji Konda
Orochi Giba
Alexander Shakadera (Xander)
Yugo Nansui
Ukyo Ibuki
Zac
Quon Limon
Ben Azuki
Gabe Brunai
Jin Aizawa
Akira Yamatoga
Lui Shirasagi
Beyblade Burst Season 1 Beys
Victory Valtryek
Storm Spryzen
Raging Roktavor
King Kerbeus
Dark Doomscizor
Wild Wyvron
Hyper Horusood
Omni Odax
Xeno Xcalius
Yugen Yegdrion
Über Unicrest
Zillion Zeutron
Quill Quetziko
Beast Betromoth
Giga Gaianon
Jumbo Jormuntor
Atlus Anubion
Lost Luìnor
As of now the current modes are:
Tournament Mode
Win a Blader and Bey Stamina Set
20 stages of 2-Star opponents.
Training Mode
20 stages of tutorial. As of now, they made the Shu battles easier. They were much hader during the soft launch. Beating all 20 stages of Training Mode unlocks Battle Mode.
Battle Mode
Currently there are 20 stages in Battle Mode. No new Battle Mode stages as of yet.
Daily Rivals
Earn gems and beycoins and exp by battling Bladers ranked from easy to hard. Level 38 is the highest level opponent so far.
Bey Shop
You can do in-game purchases here using BeyCoins, Gems, or real money.
There's also a section called team where you can change out your team of Bladers and Beys.
So far, there is no customization options for Beys. You can level up your Beys but there's no way to level up the Bladers yet as far as I know.
Beyblade Burst Season 1 Characters
Valt Aoi
Shu Kurenai
Rantaro Kiyama
Ken Midori
Daigo Kurogami
Wakiya Murasaki
Hoji Konda
Orochi Giba
Alexander Shakadera (Xander)
Yugo Nansui
Ukyo Ibuki
Zac
Quon Limon
Ben Azuki
Gabe Brunai
Jin Aizawa
Akira Yamatoga
Lui Shirasagi
Beyblade Burst Season 1 Beys
Victory Valtryek
Storm Spryzen
Raging Roktavor
King Kerbeus
Dark Doomscizor
Wild Wyvron
Hyper Horusood
Omni Odax
Xeno Xcalius
Yugen Yegdrion
Über Unicrest
Zillion Zeutron
Quill Quetziko
Beast Betromoth
Giga Gaianon
Jumbo Jormuntor
Atlus Anubion
Lost Luìnor
As of now the current modes are:
Tournament Mode
Win a Blader and Bey Stamina Set
20 stages of 2-Star opponents.
Training Mode
20 stages of tutorial. As of now, they made the Shu battles easier. They were much hader during the soft launch. Beating all 20 stages of Training Mode unlocks Battle Mode.
Battle Mode
Currently there are 20 stages in Battle Mode. No new Battle Mode stages as of yet.
Daily Rivals
Earn gems and beycoins and exp by battling Bladers ranked from easy to hard. Level 38 is the highest level opponent so far.
Bey Shop
You can do in-game purchases here using BeyCoins, Gems, or real money.
There's also a section called team where you can change out your team of Bladers and Beys.
So far, there is no customization options for Beys. You can level up your Beys but there's no way to level up the Bladers yet as far as I know.