I really do not see anything in Anthem that looks out of realm of possibility in current gen consoles. It might not "feel" as good as the E3 footage since the entire segment was carefully scripted (birds flying at the exact time, animals doing actions at the exact time player shows up). Plus the opening cutscene looked pre rendered (hence no character model).
But it'll look just as good, on Xbox One and base PS4 we'll see a lower resolution 900P/1080P as usual and maybe a few settings dialed back slightly but it'll look more or less the same. On Pro and X1X I guess the only difference would be resolution and how often it hits CBR 4K.