I'm not familiar enough with unity, but you cat start with creating you own configuration, add it as extension:
public class DefaultRegistrationFallbackConfiguration : UnityContainerExtension
{
    protected override void Initialize()
    {
        this.Context.Registering += this.AppendRemapPolicy;
    }
    public override void Remove()
    {
        this.Context.Registering -= this.AppendRemapPolicy;
    }
    private void AppendRemapPolicy(object sender, RegisterEventArgs e)
    {
        if (e.Name != null)
            return;
        if (e.TypeFrom != null && e.TypeTo != null)
            this.Context.Policies.SetDefault<IBuildKeyMappingPolicy>(new MapBuildKeyToDefaultPolicy(e.TypeFrom, e.TypeTo));
        if (e.LifetimeManager == null)
            return;
        throw new NotImplementedException("TODO: lifetime management");
    }
}
Create your own IBuildKeyMappingPolicy:
public class MapBuildKeyToDefaultPolicy : IBuildKeyMappingPolicy
{
    private readonly Type _typeFrom;
    private readonly Type _typeTo;
    public MapBuildKeyToDefaultPolicy(Type typeFrom, Type typeTo)
    {
        this._typeFrom = typeFrom;
        this._typeTo = typeTo;
    }
    public NamedTypeBuildKey Map(NamedTypeBuildKey buildKey, IBuilderContext context)
    {
        if (buildKey.Type == this._typeFrom)
            return new NamedTypeBuildKey(this._typeTo);
        throw new InvalidOperationException();
    }
}
Test classes:
public interface IFoo
{
    void Bar();
}
public class FooNamed : IFoo
{
    public void Bar()
    {
        Console.WriteLine("named one");
    }
}
public class FooDefault : IFoo
{
    public void Bar()
    {
        Console.WriteLine("default one");
    }
}
Test:
public static class Program
{
    static void Main(string[] args)
    {
        var container = new UnityContainer();
        // register extension before use container!
        container.AddExtension(new DefaultRegistrationFallbackConfiguration());
        container.RegisterType(typeof(IFoo), typeof(FooDefault));
        container.RegisterType(typeof(IFoo), typeof(FooNamed), "named");
        container.Resolve<IFoo>()         .Bar(); // default one
        container.Resolve<IFoo>("named")  .Bar(); // named one
        container.Resolve<IFoo>("unknown").Bar(); // default one
    }
}
Output:
default one
  named one
  default one