I can get a list of unique constraints fairly easily with the following query:
select * from INFORMATION_SCHEMA.TABLE_CONSTRAINTS where CONSTRAINT_TYPE=\'UNIQUE\
Here is a better solution, which lists the constraint columns in a proper sort order, with added ASC/DESC flag. It also allows filtering by catalog, schema or table name.
SELECT sh.name AS schema_name,
i.name AS constraint_name,
t.name AS table_name,
c.name AS column_name,
ic.key_ordinal AS column_position,
ic.is_descending_key AS is_desc
FROM sys.indexes i
INNER JOIN sys.index_columns ic
ON i.index_id = ic.index_id AND i.object_id = ic.object_id
INNER JOIN sys.tables AS t
ON t.object_id = i.object_id
INNER JOIN sys.columns c
ON t.object_id = c.object_id AND ic.column_id = c.column_id
INNER JOIN sys.objects AS syso
ON syso.object_id = t.object_id AND syso.is_ms_shipped = 0
INNER JOIN sys.schemas AS sh
ON sh.schema_id = t.schema_id
INNER JOIN information_schema.schemata sch
ON sch.schema_name = sh.name
WHERE i.is_unique_constraint = 1
-- AND sch.catalog_name = 'EmployeesQX'
-- AND sh.name = 'dbo'
ORDER BY sh.name, i.name, ic.key_ordinal;