iOS 8+， OSX 10.9+， Objective-C

NSCalendar *cal = [NSCalendar currentCalendar];    
NSDate *tomorrow = [cal dateByAddingUnit:NSCalendarUnitDay 
                                   value:1 
                                  toDate:[NSDate date] 
                                 options:0];

Swift 4更新:

let now = Date() // the current date/time
let oneDayFromNow = Calendar.current.date(byAdding: .day, value: 1, to: now) // Tomorrow with same time of day as now

Swift 3.0非常简单的实现将是:

func dateByAddingDays(inDays: Int) -> Date {
    let today = Date()
    return Calendar.current.date(byAdding: .day, value: inDays, to: today)!
}

简单的Swift扩展昨天和明天从任何日期:

extension Date {
    
    var previousDay: Date {
        Calendar.current.date(byAdding: DateComponents(day:-1), to: self)!
    }
    
    var nextDay: Date {
        Calendar.current.date(byAdding: DateComponents(day:+1), to: self)!
    }
    
}

我在这里根据问题中的建议强制展开可选选项: 何时dateByAddingComponents:toDate:options返回nil?

对于swift 2.2:

let today = NSDate()
let tomorrow = NSCalendar.currentCalendar().dateByAddingUnit(
        .Day,
        value: 1,
        toDate: today,
        options: NSCalendarOptions.MatchStrictly)

希望这能帮助到一些人!

只是为了好玩，通过一些扩展和操作符重载，你可以得到一些不错的东西，比如:

let today = Date()
let tomorrow = today + 1.days

, or

var date = Date()
date += 1.months

下面是支持代码:

extension Calendar {
    struct ComponentWithValue {
        let component: Component
        let value: Int
    }
}

extension Int {
    var days: Calendar.ComponentWithValue {
        .init(component: .day, value: self)
    }
    
    var months: Calendar.ComponentWithValue {
        .init(component: .month, value: self)
    }
}

func +(_ date: Date, _ amount: Calendar.ComponentWithValue) -> Date {
    Calendar.current.date(byAdding: amount.component, value: amount.value, to: date)!
}

func +(_ amount: Calendar.ComponentWithValue, _ date: Date) -> Date {
    date + amount
}

func +=(_ date: inout Date, _ amount: Calendar.ComponentWithValue) {
    date = date + amount
}

代码是最少的，并且可以很容易地扩展到允许.月，.年，.小时等。还可以无缝添加对减法(-)的支持。

虽然在+操作符的实现中有一个强制的展开，但是不确定在哪种情况下日历可以返回nil日期。