引数で、引数付き、戻り値Actionを渡す

下記戻り値ありのメソッドを渡す

public CharacterBase GetTargetChara(CharacterBase characterBase)
{
    CharaAttribute charaAttribute = characterBase.charaAttribute;

    if (charaAttribute == CharaAttribute.Player || charaAttribute == CharaAttribute.Summon)
        return enemyControllers.GetAtRandom();

    if (charaAttribute == CharaAttribute.Enemy)
        return moveControllers.GetAtRandom();

    return new CharacterBase();
}

Funcでメソッド準備

public void BattleInitialized(CharaAttribute _charaAttribute, Func<CharacterBase, CharacterBase> _getTaget)
{
    charaAttribute = _charaAttribute;
    getTaget = _getTaget;
    targetController = getTaget(this);
}

こんな感じで使う

        foreach (var Value in moveControllers)
        {
            Value.BattleInitialized(CharaAttribute.Player, GetTargetChara);
        }