While some users complained about the graphics quality of Fallout 4 seen in the earlier released trailer, it appears that it will be much better than seen as it won't work on last-gen consoles.
According to a post on NeoGAF from Betheda's global community lead Matt Grandstaff, Fallout 4 will not come to last-gen consoles as the "stuff we're doing will never work there."
The official trailer released on June 3rd never mentioned Playstation 3 or Xbox 360 which was not a big surprise considering that next-gen consoles are what is popular right now. In any case, Fallout 4 will be coming to PC, Playstation 4 and Xbox One only.
Bethesda also promised to show a lot more during E3 2015 show where it will host its E3 event on June 14th and select members of the press will have a chance to experience 20-30 minute demo. Although the demo will be held behind closed doors we will hopefully hear more about the game.