From what we have seen from screenshots, the backgrounds and such do make you wonder if they were inspired from Inception. The whole "the city is alive" does smell like Inception to me.
@ LoD:
Devil May Cry might not directly be inspired from The Matrix, but as you said, there are indeed some comparisons. Not just Dante's whole long-coat look, but also the anti-gravity movements and fighting, so it makes sense.
@ CoolDemon:
The whole slave harvesting in Enslaved does indeed sound The Matrix inspired, even with the cocoon-like cells and all, and it is also "man against the machines" and "Big Brother" theme, so I have no doubt that Enslaved is inspired by The Matrix to some degree.
However, I heavily disagree that any angel inspiration in DmC comes from Heavenly Sword. As I mentioned in a post above, there are nothing angelic about Heavenly Sword as such. When Nariko becomes possessed by the sword, she looks more like a demonic ghost than an angel to me.