How do you add an Enum object to an Android Bundle?
I know this is an old question, but I came with the same problem and I would like to share how I solved it. The key is what Miguel said: Enums are Serializable.
Given the following enum:
enum YourEnumType {
    ENUM_KEY_1, 
    ENUM_KEY_2
}
Put:
Bundle args = new Bundle();
args.putSerializable("arg", YourEnumType.ENUM_KEY_1);
                                                                        One thing to be aware of -- if you are using bundle.putSerializable for a Bundle to be added to a notification, you could run into the following issue:
*** Uncaught remote exception!  (Exceptions are not yet supported across processes.)
    java.lang.RuntimeException: Parcelable encountered ClassNotFoundException reading a Serializable object.
...
To get around this, you can do the following:
public enum MyEnum {
    TYPE_0(0),
    TYPE_1(1),
    TYPE_2(2);
    private final int code;
    private MyEnum(int code) {
        this.code = navigationOptionLabelResId;
    }
    public int getCode() {
        return code;
    }
    public static MyEnum fromCode(int code) {
        switch(code) {
            case 0:
                return TYPE_0;
            case 1:
                return TYPE_1;
            case 2:
                return TYPE_2;
            default:
                throw new RuntimeException(
                    "Illegal TYPE_0: " + code);
        }
    }
}
Which can then be used like so:
// Put
Bundle bundle = new Bundle();
bundle.putInt("key", MyEnum.TYPE_0.getCode());
// Get 
MyEnum myEnum = MyEnum.fromCode(bundle.getInt("key"));
                                                                        I think convert enum to int (for normal enum) and then set on bundle was been easiest way. like this code for intent:
myIntent.PutExtra("Side", (int)PageType.Fornt);
then for check state:
int type = Intent.GetIntExtra("Side",-1);
if(type == (int)PageType.Fornt)
{
    //To Do
}
but not work for all enum type!
Another option:
public enum DataType implements Parcleable {
    SIMPLE, COMPLEX;
    public static final Parcelable.Creator<DataType> CREATOR = new Creator<DataType>() {
        @Override
        public DataType[] newArray(int size) {
            return new DataType[size];
        }
        @Override
        public DataType createFromParcel(Parcel source) {
            return DataType.values()[source.readInt()];
        }
    };
    @Override
    public int describeContents() {
        return 0;
    }
    @Override
    public void writeToParcel(Parcel dest, int flags) {
        dest.writeInt(this.ordinal());
    }
}
                                                                        For completeness sake, this is a full example of how to put in and get back an enum from a bundle.
Given the following enum:
enum EnumType{
    ENUM_VALUE_1,
    ENUM_VALUE_2
}
You can put the enum into a bundle:
bundle.putSerializable("enum_key", EnumType.ENUM_VALUE_1);
And get the enum back:
EnumType enumType = (EnumType)bundle.getSerializable("enum_key");
                                                                        A simple way, assign integer value to enum
See the following example:
public enum MyEnum {
    TYPE_ONE(1), TYPE_TWO(2), TYPE_THREE(3);
    private int value;
    MyEnum(int value) {
        this.value = value;
    }
    public int getValue() {
        return value;
    }
}
Sender Side:
Intent nextIntent = new Intent(CurrentActivity.this, NextActivity.class);
nextIntent.putExtra("key_type", MyEnum.TYPE_ONE.getValue());
startActivity(nextIntent);
Receiver Side:
Bundle mExtras = getIntent().getExtras();
int mType = 0;
if (mExtras != null) {
    mType = mExtras.getInt("key_type", 0);
}
/* OR
    Intent mIntent = getIntent();
    int mType = mIntent.getIntExtra("key_type", 0);
*/
if(mType == MyEnum.TYPE_ONE.getValue())
    Toast.makeText(NextActivity.this, "TypeOne", Toast.LENGTH_SHORT).show();
else if(mType == MyEnum.TYPE_TWO.getValue())
    Toast.makeText(NextActivity.this, "TypeTwo", Toast.LENGTH_SHORT).show();
else if(mType == MyEnum.TYPE_THREE.getValue())
    Toast.makeText(NextActivity.this, "TypeThree", Toast.LENGTH_SHORT).show();
else
    Toast.makeText(NextActivity.this, "Wrong Key", Toast.LENGTH_SHORT).show();