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Summary:
iPhone5 on iOS 9.2.1 was able to work until battery level 1%.
iPhone5 on iOS 9.3/9.3.1/9.3.2 not able to reach battery level 5...10% because it it randomly shut down itself.

Erasing iPhone and performing clean install does not solve issue.
Using "Low Power Mode" does not solve issue.

Steps to Reproduce:
1. Fully Charge iPhone (100% battery)
2. Start using energy consuming app (Google Maps, Facebook, ...) on 3G connection.


Expected Results:
iPhone should shutdown itself at battery level less than 1%.

Actual Results:
1. Approximately at 20...30% of battery level (sometimes at 60%) iPhone will shutdown itself.
2. Upon pressing "Lock" button "large battery icon with cable" will be shown, hinting user to plug-in iPhone to the charger.
3. Wait 5-10 minutes
4. Long press "Lock" button and start iPhone.
5. iPhone will launch and will show approximately the same battery level as it was before shutdown.
6. It is possible to use iPhone 5-15 minutes until it shut down itself again.

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I just got additional information with the help of BatteryLife.app (https://itunes.apple.com/app/id1080930585).
There are two screenshots in attachment.
- BatteryLife-701mAh.PNG: Shows that battery has capacity 701mAh (http://i.imgur.com/bdXXzEC.png)
- BatteryLife-1171mAh.PNG: Shows that battery has capacity 1171mAh (http://i.imgur.com/WepZSig.png)
Second screenshot taken only 2 minutes after first one.

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Here is a list of time events (Timezone: Central Europe - Berlin)

Time and event:
4:39 - shutdown at 11%
4:42 - boot up - battery level 22%
4:45 - shutdown at 20%
4:51 - boot up at battery level 17%
4:54 - shutdown at 16 %

Capacity change: (mAh)
4:01 - 952
4:20 - 768
4:24 - 704
4:28 - 820
4:32 - 684
4:33 - 647
4:44 - 764
4:53 - 747