Only listed sets have their 5pc bonus.

But you still can use other sets for 1-4pc bonuses.

Some other sets work which have two seperate 5 piece bonuses,such as Night Mothers Embrace.

Night Mother's Embrace
LEVEL 50 - CP 160
Type Overland
Set bonus
(2 items) Adds 1096 Maximum Stamina
(3 items) Adds 129 Weapon Damage
(4 items) Adds 129 Stamina Recovery
(5 items) Adds 171 Weapon Damage, Reduces the radius you can be detected while Sneaking by 2 meters. Reduces the cost of Sneak by 25%.

Also Oblivion's Foe:

Oblivion's Foe
LEVEL 50 - CP 160
Type Craftable
Set bonus
(2 items) Adds 129 Weapon Damage and Spell Damage
(3 items) Adds 1487 Offensive Penetration
(4 items) Adds 657 Weapon Critical
(5 items) Adds 129 Weapon Damage and Spell Damage, When you deal damage with Soul Magic, you mark the target's soul dealing 12820 Magic Damage over 10 seconds, as long as they are not already marked from you.