意识到这是一个老问题。我仍然想张贴这个答案，因为我有一些问题弹出几个viewcontroller与建议的答案。我的解决方案是子类UINavigationController和覆盖所有的弹出和推方法。

翻转导航控制器.h

@interface FlippingNavigationController : UINavigationController

@end

FlippingNavigationController.m：

#import "FlippingNavigationController.h"

#define FLIP_DURATION 0.5

@implementation FlippingNavigationController

- (void)pushViewController:(UIViewController *)viewController animated:(BOOL)animated
{
    [UIView transitionWithView:self.view
                      duration:animated?FLIP_DURATION:0
                       options:UIViewAnimationOptionCurveEaseInOut | UIViewAnimationOptionTransitionFlipFromRight
                    animations:^{ [super pushViewController:viewController
                                                   animated:NO]; }
                    completion:nil];
}

- (UIViewController *)popViewControllerAnimated:(BOOL)animated
{
    return [[self popToViewController:[self.viewControllers[self.viewControllers.count - 2]]
                             animated:animated] lastObject];
}

- (NSArray *)popToRootViewControllerAnimated:(BOOL)animated
{
    return [self popToViewController:[self.viewControllers firstObject]
                            animated:animated];
}

- (NSArray *)popToViewController:(UIViewController *)viewController animated:(BOOL)animated
{
    __block NSArray* viewControllers = nil;

    [UIView transitionWithView:self.view
                      duration:animated?FLIP_DURATION:0
                       options:UIViewAnimationOptionCurveEaseInOut | UIViewAnimationOptionTransitionFlipFromLeft
                    animations:^{ viewControllers = [super popToViewController:viewController animated:NO]; }
                    completion:nil];

    return viewControllers;
}

@end

只使用:

ViewController *viewController = [[ViewController alloc] init];

UINavigationController *navController = [[UINavigationController alloc] initWithRootViewController:viewController];
navController.navigationBarHidden = YES;

[self presentViewController:navController animated:YES completion: nil];
[viewController release];
[navController release];

虽然这里所有的答案都很棒，而且大多数工作得很好，但有一个稍微简单一点的方法可以达到同样的效果……

推动:

  NextViewController *nextViewController = [[NextViewController alloc] init];

  // Shift the view to take the status bar into account 
  CGRect frame = nextViewController.view.frame;
  frame.origin.y -= 20;
  frame.size.height += 20;
  nextViewController.view.frame = frame;

  [UIView transitionFromView:self.navigationController.topViewController.view toView:nextViewController.view duration:0.5 options:UIViewAnimationOptionTransitionFlipFromRight completion:^(BOOL finished) {
    [self.navigationController pushViewController:nextViewController animated:NO];
  }];

流行:

  int numViewControllers = self.navigationController.viewControllers.count;
  UIView *nextView = [[self.navigationController.viewControllers objectAtIndex:numViewControllers - 2] view];

  [UIView transitionFromView:self.navigationController.topViewController.view toView:nextView duration:0.5 options:UIViewAnimationOptionTransitionFlipFromLeft completion:^(BOOL finished) {
    [self.navigationController popViewControllerAnimated:NO];
  }];}

看看ADTransitionController，用自定义过渡动画替换UINavigationController(它的API与UINavigationController的API匹配)，这是我们在Applidium创建的。

您可以使用不同的预定义动画推送和弹出动作，如滑动，淡出，立方体，旋转，缩放等。

@Magnus回答，只有Swift(2.0)才会这样

    let transition = CATransition()
    transition.duration = 0.5
    transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
    transition.type = kCATransitionPush
    transition.subtype = kCATransitionFromTop
    self.navigationController!.view.layer.addAnimation(transition, forKey: nil)
    let writeView : WriteViewController = self.storyboard?.instantiateViewControllerWithIdentifier("WriteView") as! WriteViewController
    self.navigationController?.pushViewController(writeView, animated: false)

旁注:

你也可以用Segue做这个，只需要在prepareForSegue或shouldPerformSegueWithIdentifier中实现。但是，这也会保留默认动画。要解决这个问题，你必须转到故事板，单击Segue，取消选中“Animates”框。但这将限制你的应用在IOS 9.0及以上(至少当我在Xcode 7中这样做时)。

在segue中，最后两行应该替换为:

self.navigationController?.popViewControllerAnimated(false)

即使我设为false，它还是会忽略它。

从示例应用程序中，可以看到这种变化。 https://github.com/mpospese/MPFoldTransition/

#pragma mark - UINavigationController(MPFoldTransition)

@implementation UINavigationController(MPFoldTransition)

//- (void)pushViewController:(UIViewController *)viewController animated:(BOOL)animated
- (void)pushViewController:(UIViewController *)viewController foldStyle:(MPFoldStyle)style
{
    [MPFoldTransition transitionFromViewController:[self visibleViewController] 
                                  toViewController:viewController 
                                          duration:[MPFoldTransition defaultDuration]  
                                             style:style 
                                        completion:^(BOOL finished) {
                                            [self pushViewController:viewController animated:NO];
                                        }
     ];
}

- (UIViewController *)popViewControllerWithFoldStyle:(MPFoldStyle)style
{
    UIViewController *toController = [[self viewControllers] objectAtIndex:[[self viewControllers] count] - 2];

    [MPFoldTransition transitionFromViewController:[self visibleViewController] 
                                  toViewController:toController 
                                          duration:[MPFoldTransition defaultDuration] 
                                             style:style
                                        completion:^(BOOL finished) {
                                            [self popViewControllerAnimated:NO];
                                        }
     ];

    return toController;
}