When configuring a "Android Native App" in a Facebook app, they require the Android Class Name. If you created the Android APK from Unity3D, how do you know what class to use?
<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android" android:installLocation="preferExternal" package="--------------" android:versionName="1.02" android:versionCode="8">
<supports-screens android:smallScreens="true" android:normalScreens="true" android:largeScreens="true" android:xlargeScreens="true" android:anyDensity="true" />
<application android:icon="@drawable/app_icon" android:label="@string/app_name" android:debuggable="true">
<activity android:name="com.unity3d.player.UnityPlayerProxyActivity" android:label="@string/app_name" android:configChanges="fontScale|keyboard|keyboardHidden|locale|mnc|mcc|navigation|orientation|screenLayout|screenSize|smallestScreenSize|uiMode|touchscreen" android:screenOrientation="landscape">
<intent-filter>
<action android:name="android.intent.action.MAIN" />
<category android:name="android.intent.category.LAUNCHER" />
</intent-filter>
</activity>
<activity android:name="com.unity3d.player.UnityPlayerActivity" android:label="@string/app_name" android:configChanges="fontScale|keyboard|keyboardHidden|locale|mnc|mcc|navigation|orientation|screenLayout|screenSize|smallestScreenSize|uiMode|touchscreen" android:screenOrientation="landscape">
</activity>
<activity android:name="com.unity3d.player.UnityPlayerNativeActivity" android:label="@string/app_name" android:configChanges="fontScale|keyboard|keyboardHidden|locale|mnc|mcc|navigation|orientation|screenLayout|screenSize|smallestScreenSize|uiMode|touchscreen" android:screenOrientation="landscape">
<meta-data android:name="android.app.lib_name" android:value="unity" />
<meta-data android:name="unityplayer.ForwardNativeEventsToDalvik" android:value="false" />
</activity>
<activity android:name="com.unity3d.player.VideoPlayer" android:label="@string/app_name" android:configChanges="fontScale|keyboard|keyboardHidden|locale|mnc|mcc|navigation|orientation|screenLayout|screenSize|smallestScreenSize|uiMode|touchscreen" android:screenOrientation="landscape">
</activity>
<!-- ACTIVITIES -->
<activity android:name="com.prime31.FacebookProxyActivity" />
<!-- META-DATA -->
</application>
<!-- PERMISSIONS -->
<uses-permission android:name="android.permission.INTERNET" />
<uses-feature android:glEsVersion="0x00020000" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
<uses-feature android:name="android.hardware.sensor.accelerometer" />
<uses-feature android:name="android.hardware.touchscreen" />
<uses-feature android:name="android.hardware.touchscreen.multitouch" android:required="false" />
<uses-feature android:name="android.hardware.touchscreen.multitouch.distinct" android:required="false" />
<uses-sdk android:minSdkVersion="8" android:targetSdkVersion="16" />
</manifest>
This field should be your main activity (associated with MAIN and LAUNCHER). In this case, I think it would be com.unity3d.player.UnityPlayerProxyActivity.
This is mainly necessary if you use native deep links (so the FB app can create an intent that directly calls your activity). In that respect, any publicly accessible Activity in your app will do.