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They did release World Ends With You: Solo Remix for Android dunno about Final Remix though.

In that case Critical Ops, Modern Combat 5, and NOVA legacy they're all pvp games and shooters like you're looking for. Rise looks interesting to me but not even in beta yet.

Are you only looking for shooters and the like? Have you tried Dead Effect, it's campaign based, but might be worth a run through to kill some time solo, get away from the multiplayer scene for a bit.