GROUP BY but get all values from other column

Using MySQL you can use GROUP_CONCAT(expr)

This function returns a string result with the concatenated non-NULL
values from a group. It returns NULL if there are no non-NULL values.
The full syntax is as follows:

GROUP_CONCAT([DISTINCT] expr [,expr ...]
             [ORDER BY {unsigned_integer | col_name | expr}
                 [ASC | DESC] [,col_name ...]]
             [SEPARATOR str_val])

Something like

SELECT ID, GROUP_CONCAT(name) GroupedName
FROM Table1
GROUP BY ID

SQL Fiddle DEMO