The searched CASE returns results when a boolean expression is TRUE.

(This differs from the simple case, which can only check for equivalency with an input.)

SELECT Id, ItemId, Price,
  CASE WHEN Price < 10 THEN 'CHEAP'
       WHEN Price < 20 THEN 'AFFORDABLE'
       ELSE 'EXPENSIVE'
  END AS PriceRating
FROM ItemSales

Id	ItemId	Price	PriceRating
1	100	34.5	EXPENSIVE
2	145	2.3	CHEAP
3	100	34.5	EXPENSIVE
4	100	34.5	EXPENSIVE
5	145	10	AFFORDABLE

Use Case

CASE can be used in conjunction with SUM to return a count of only those items matching a pre-defined condition. (This is similar to COUNTIF in Excel.)

The trick is to return binary results indicating matches, so the "1"s returned for matching entries can be summed for a count of the total number of matches.

Given this table ItemSales, let's say you want to learn the total number of items that have been categorized as "Expensive":

Id	ItemId	Price	PriceRating
1	100	34.5	EXPENSIVE
2	145	2.3	CHEAP
3	100	34.5	EXPENSIVE
4	100	34.5	EXPENSIVE
5	145	10	AFFORDABLE

Query

SELECT 
    COUNT(Id) AS ItemsCount,
    SUM ( CASE 
            WHEN PriceRating = 'Expensive' THEN 1
            ELSE 0
          END
        ) AS ExpensiveItemsCount
FROM ItemSales 

Results:

ItemsCount	ExpensiveItemsCount
5	3

Alternative:

SELECT 
    COUNT(Id) as ItemsCount,
    SUM (
        CASE PriceRating 
            WHEN 'Expensive' THEN 1
            ELSE 0
        END
       ) AS ExpensiveItemsCount
FROM ItemSales 

CASE's shorthand variant evaluates an expression (usually a column) against a series of values. This variant is a bit shorter, and saves repeating the evaluated expression over and over again. The ELSE clause can still be used, though:

SELECT Id, ItemId, Price,
  CASE Price WHEN 5  THEN 'CHEAP'
             WHEN 15 THEN 'AFFORDABLE'
             ELSE         'EXPENSIVE'
  END as PriceRating
FROM ItemSales

A word of caution. It's important to realize that when using the short variant the entire statement is evaluated at each WHEN. Therefore the following statement:

SELECT 
    CASE ABS(CHECKSUM(NEWID())) % 4
        WHEN 0 THEN 'Dr'
        WHEN 1 THEN 'Master'
        WHEN 2 THEN 'Mr'
        WHEN 3 THEN 'Mrs'
    END

may produce a NULL result. That is because at each WHEN NEWID() is being called again with a new result. Equivalent to:

SELECT 
    CASE 
        WHEN ABS(CHECKSUM(NEWID())) % 4 = 0 THEN 'Dr'
        WHEN ABS(CHECKSUM(NEWID())) % 4 = 1 THEN 'Master'
        WHEN ABS(CHECKSUM(NEWID())) % 4 = 2 THEN 'Mr'
        WHEN ABS(CHECKSUM(NEWID())) % 4 = 3 THEN 'Mrs'
    END

Therefore it can miss all the WHEN cases and result as NULL.

We can use 1,2,3.. to determine the type of order:

SELECT * FROM DEPT
ORDER BY
CASE DEPARTMENT
      WHEN 'MARKETING' THEN  1
      WHEN 'SALES' THEN 2
      WHEN 'RESEARCH' THEN 3
      WHEN 'INNOVATION' THEN 4
      ELSE        5
      END,
      CITY

ID	REGION	CITY	DEPARTMENT	EMPLOYEES_NUMBER
12	New England	Boston	MARKETING	9
15	West	San Francisco	MARKETING	12
9	Midwest	Chicago	SALES	8
14	Mid-Atlantic	New York	SALES	12
5	West	Los Angeles	RESEARCH	11
10	Mid-Atlantic	Philadelphia	RESEARCH	13
4	Midwest	Chicago	INNOVATION	11
2	Midwest	Detroit	HUMAN RESOURCES	9

sample on price increases:

UPDATE ItemPrice
SET Price = Price *
  CASE ItemId
    WHEN 1 THEN 1.05
    WHEN 2 THEN 1.10
    WHEN 3 THEN 1.15
    ELSE 1.00
  END

in this way '0' representing the known values ​​are ranked first, '1' representing the NULL values ​​are sorted by the last:

SELECT ID
      ,REGION
      ,CITY
      ,DEPARTMENT
      ,EMPLOYEES_NUMBER
  FROM DEPT
  ORDER BY 
  CASE WHEN REGION IS NULL THEN 1 
  ELSE 0
  END, 
  REGION

ID	REGION	CITY	DEPARTMENT	EMPLOYEES_NUMBER
10	Mid-Atlantic	Philadelphia	RESEARCH	13
14	Mid-Atlantic	New York	SALES	12
9	Midwest	Chicago	SALES	8
12	New England	Boston	MARKETING	9
5	West	Los Angeles	RESEARCH	11
15	NULL	San Francisco	MARKETING	12
4	NULL	Chicago	INNOVATION	11
2	NULL	Detroit	HUMAN RESOURCES	9

Imagine that you need sort records by lowest value of either one of two columns. Some databases could use a non-aggregated MIN() or LEAST() function for this (... ORDER BY MIN(Date1, Date2)), but in standard SQL, you have to use a CASE expression.

The CASE expression in the query below looks at the Date1 and Date2 columns, checks which column has the lower value, and sorts the records depending on this value.

Sample data

Id	Date1	Date2
1	2017-01-01	2017-01-31
2	2017-01-31	2017-01-03
3	2017-01-31	2017-01-02
4	2017-01-06	2017-01-31
5	2017-01-31	2017-01-05
6	2017-01-04	2017-01-31

Query

SELECT Id, Date1, Date2
FROM YourTable
ORDER BY CASE 
           WHEN COALESCE(Date1, '1753-01-01') < COALESCE(Date2, '1753-01-01') THEN Date1 
           ELSE Date2 
         END

Results

Id	Date1	Date2
1	2017-01-01	2017-01-31
3	2017-01-31	2017-01-02
2	2017-01-31	2017-01-03
6	2017-01-04	2017-01-31
5	2017-01-31	2017-01-05
4	2017-01-06	2017-01-31

Explanation

As you see row with Id = 1 is first, that because Date1 have lowest record from entire table 2017-01-01, row where Id = 3 is second that because Date2 equals to 2017-01-02 that is second lowest value from table and so on.

So we have sorted records from 2017-01-01 to 2017-01-06 ascending and no care on which one column Date1 or Date2 are those values.