There are three types of metrics that you want to collect.
1) Aggregate metrics
2) Cohort metrics
3) Funnel metrics
A tool like Flurry is OK for aggregate metrics. Google Analytics for mobile is probably the better choice depending on your needs.
For cohort and funnel metrics, I prefer using Mixpanel. And for tracking App installs I prefer Tapstream.
For a deeper dive into the above analytics types above, I recommend reading Lean Analytics by Alistair Croll and Ben Yoskovitz.
I would suggest different tools since there are different types of metrics you need to capture and there isn't an analytics tool out there that will capture all the date you need.
I would suggest using a combination of the tools role to start.
1) Google Analytics
3) Game Analytics
I hope this helps.