Yes, XBox 360 has lots of shooters, PS4 has lots of shooters, and you can go even farther:
The XBox 360 use GDDR RAM the PS4 uses GDDR RAM
The XBox 360 has an online community that can talk to one another, the PS4 has an online community where you can talk to one another.
The Xbox 360 allows you to share of facebook, the PS4 has a share button
(Et cetera and so forth)
Conclusion: the PS4 is in reality the Xbox 720