Compare method

Either you implement a compare-method for your object:

- (NSComparisonResult)compare:(Person *)otherObject {
    return [self.birthDate compare:otherObject.birthDate];
}

NSArray *sortedArray = [drinkDetails sortedArrayUsingSelector:@selector(compare:)];

NSSortDescriptor (better)

or usually even better:

NSSortDescriptor *sortDescriptor;
sortDescriptor = [[NSSortDescriptor alloc] initWithKey:@"birthDate"
                                           ascending:YES];
NSArray *sortedArray = [drinkDetails sortedArrayUsingDescriptors:@[sortDescriptor]];

You can easily sort by multiple keys by adding more than one to the array. Using custom comparator-methods is possible as well. Have a look at the documentation.

Blocks (shiny!)

There's also the possibility of sorting with a block since Mac OS X 10.6 and iOS 4:

NSArray *sortedArray;
sortedArray = [drinkDetails sortedArrayUsingComparator:^NSComparisonResult(Person *a, Person *b) {
    return [a.birthDate compare:b.birthDate];
}];

Performance

The -compare: and block-based methods will be quite a bit faster, in general, than using NSSortDescriptor as the latter relies on KVC. The primary advantage of the NSSortDescriptor method is that it provides a way to define your sort order using data, rather than code, which makes it easy to e.g. set things up so users can sort an NSTableView by clicking on the header row.

See the NSMutableArray method sortUsingFunction:context:

You will need to set up a compare function which takes two objects (of type Person, since you are comparing two Person objects) and a context parameter.

The two objects are just instances of Person. The third object is a string, e.g. @"birthDate".

This function returns an NSComparisonResult: It returns NSOrderedAscending if PersonA.birthDate < PersonB.birthDate. It will return NSOrderedDescending if PersonA.birthDate > PersonB.birthDate. Finally, it will return NSOrderedSame if PersonA.birthDate == PersonB.birthDate.

This is rough pseudocode; you will need to flesh out what it means for one date to be "less", "more" or "equal" to another date (such as comparing seconds-since-epoch etc.):

NSComparisonResult compare(Person *firstPerson, Person *secondPerson, void *context) {
  if ([firstPerson birthDate] < [secondPerson birthDate])
    return NSOrderedAscending;
  else if ([firstPerson birthDate] > [secondPerson birthDate])
    return NSOrderedDescending;
  else 
    return NSOrderedSame;
}

If you want something more compact, you can use ternary operators:

NSComparisonResult compare(Person *firstPerson, Person *secondPerson, void *context) {
  return ([firstPerson birthDate] < [secondPerson birthDate]) ? NSOrderedAscending : ([firstPerson birthDate] > [secondPerson birthDate]) ? NSOrderedDescending : NSOrderedSame;
}

Inlining could perhaps speed this up a little, if you do this a lot.

There is a missing step in Georg Schölly's second answer, but it works fine then.

NSSortDescriptor *sortDescriptor;
sortDescriptor = [[[NSSortDescriptor alloc] initWithKey:@"birthDate"
                                              ascending:YES] autorelease];
NSArray *sortDescriptors = [NSArray arrayWithObject:sortDescriptor];
NSArray *sortedArray;
sortedArray = [drinkDetails sortedArrayUsingDescriptors:sortDescriptors];

// added the 's' because time was wasted when I copied and pasted and it failed without the 's' in sortedArrayUsingDescriptors

Your Person objects need to implement a method, say compare: which takes another Person object, and return NSComparisonResult according to the relationship between the 2 objects.

Then you would call sortedArrayUsingSelector: with @selector(compare:) and it should be done.

There are other ways, but as far as I know there is no Cocoa-equiv of the Comparable interface. Using sortedArrayUsingSelector: is probably the most painless way to do it.

You use NSSortDescriptor to sort an NSMutableArray with custom objects

 NSSortDescriptor *sortingDescriptor;
 sortingDescriptor = [[NSSortDescriptor alloc] initWithKey:@"birthDate"
                                       ascending:YES];
 NSArray *sortArray = [drinkDetails sortedArrayUsingDescriptors:@[sortDescriptor]];

Use like this for nested objects,

NSSortDescriptor * sortDescriptor = [[NSSortDescriptor alloc] initWithKey:@"lastRoute.to.lastname" ascending:YES selector:@selector(caseInsensitiveCompare:)];
NSMutableArray *sortedPackages = [[NSMutableArray alloc]initWithArray:[packages sortedArrayUsingDescriptors:@[sortDescriptor]]];

lastRoute is one object and that object holds the to object, that to object hold the lastname string values.

Swift version: 5.1

If you have a custom struct or class and want to sort them arbitrarily, you should call sort() using a trailing closure that sorts on a field you specify. Here's an example using an array of custom structs that sorts on a particular property:

    struct User {
        var firstName: String
    }

    var users = [
        User(firstName: "Jemima"),
        User(firstName: "Peter"),
        User(firstName: "David"),
        User(firstName: "Kelly"),
        User(firstName: "Isabella")
    ]

    users.sort {
        $0.firstName < $1.firstName
    }

If you want to return a sorted array rather than sort it in place, use sorted() like this:

    let sortedUsers = users.sorted {
        $0.firstName < $1.firstName
    }

  let sortedUsers = users.sorted {
    $0.firstName < $1.firstName
 }