Still in work hours, so can't really try out a lot. Lots of spoilers about the menu and opening if that bothers anyone...
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Game opens with a brief tutorial fight with Goku vs Vegeta (Super) to become familiar with the controls - it takes place in the wasteland. Afterwards, Vegeta insists he has to catch Whis who is meeting with Bulma to get more training.
Similar to BT3, all the menus are dynamic and take place in different locations. Goku is the guide and will teleport to each one. While waiting there is dialogue. All sub-menus focus on a different character in each location.
Controlss can be granularly set. Also interestingly the graphical options have different configs for 1P and 2P battles; considering split-screen battles are officially limited to the Hyperbolic Time Chamber (for resource usage), I wonder if this is something that can be easily bypassed with a mod.
Training menu takes place at the World Tournament arena and has Ultimate Gohan and Piccolo on the menu screen. I trust this will be the typical training session with Gohan and Piccolo as per literally every other game.