joda time（一如既往）由于 DateTimeZone.nextTransition 方法。例如：

import org.joda.time.*;
import org.joda.time.format.*;

public class Test
{    
    public static void main(String[] args)
    {
        DateTimeZone zone = DateTimeZone.forID("Europe/London");        
        DateTimeFormatter format = DateTimeFormat.mediumDateTime();

        long current = System.currentTimeMillis();
        for (int i=0; i < 100; i++)
        {
            long next = zone.nextTransition(current);
            if (current == next)
            {
                break;
            }
            System.out.println (format.print(next) + " Into DST? " 
                                + !zone.isStandardOffset(next));
            current = next;
        }
    }
}

输出：

25-Oct-2009 01:00:00 Into DST? false
28-Mar-2010 02:00:00 Into DST? true
31-Oct-2010 01:00:00 Into DST? false
27-Mar-2011 02:00:00 Into DST? true
30-Oct-2011 01:00:00 Into DST? false
25-Mar-2012 02:00:00 Into DST? true
28-Oct-2012 01:00:00 Into DST? false
31-Mar-2013 02:00:00 Into DST? true
27-Oct-2013 01:00:00 Into DST? false
30-Mar-2014 02:00:00 Into DST? true
26-Oct-2014 01:00:00 Into DST? false
29-Mar-2015 02:00:00 Into DST? true
25-Oct-2015 01:00:00 Into DST? false
...

使用Java8，您可以使用 ZoneRules 用它的 nextTransition 以及 previousTransition 方法。

java.time文件

现代答案使用java.time，即现代java日期和时间api。

ZoneId zone = ZoneId.of("Europe/London");
    ZoneRules rules = zone.getRules();
    ZonedDateTime now = ZonedDateTime.now(zone);
    ZoneOffsetTransition transition = rules.nextTransition(now.toInstant());
    Instant max = now.plusYears(15).toInstant();
    while (transition != null && transition.getInstant().isBefore(max)) {
        System.out.println(transition);
        transition = rules.nextTransition(transition.getInstant());
    }

输出，缩写：

Transition[Overlap at 2019-10-27T02:00+01:00 to Z]
Transition[Gap at 2020-03-29T01:00Z to +01:00]
Transition[Overlap at 2020-10-25T02:00+01:00 to Z]
Transition[Gap at 2021-03-28T01:00Z to +01:00]
Transition[Overlap at 2021-10-31T02:00+01:00 to Z]
Transition[Gap at 2022-03-27T01:00Z to +01:00]
Transition[Overlap at 2022-10-30T02:00+01:00 to Z]
(cut)
Transition[Overlap at 2033-10-30T02:00+01:00 to Z]
Transition[Gap at 2034-03-26T01:00Z to +01:00]

不过，我不会太相信这些数据。我不确定英国脱欧后（以及欧盟可能在2021年放弃夏令时（dst））的时间会发生什么。
link:oracle tutorial：date time解释如何使用java.time。