Tailed Beasts
The nine tailed beasts sleep in a shrine marked on the minimap (from minute 3 in Survival, in A and S missions and in chapters 5-6). Enter the circle to wake it, dodge the Tailed Beast Bomb (jumping isn't enough) and weaken it below 15%. Then stay 5s in the seal circle before it recovers, or it escapes.
Sealed beasts go into the Seal Scroll and are the only ones you can pick as a summon. They're bigger, last twice as long and deal more damage, but take one of the contract and companion slots. The first seal is worth 400 ryo plus 60 per tail.
Health 3,000 · Damage 22 · Shrine: Suna, Hidden Sand Village
Bond with 
Gaara: +50% damage, more frequent summon.
Its shrine appears in Suna, Hidden Sand Village.
Health 3,300 · Damage 22 · Shrine: Forest of Death
Its shrine appears in Forest of Death.
Health 3,900 · Damage 24 · Shrine: Land of Waves
Its shrine appears in Land of Waves.
Health 4,100 · Damage 25 · Shrine: Iwa, Hidden Stone Village
Its shrine appears in Iwa, Hidden Stone Village.
Health 4,300 · Damage 25 · Shrine: Konoha, Hidden Leaf Village
Its shrine appears in Konoha, Hidden Leaf Village.
Health 4,600 · Damage 26 · Shrine: Land of Waves
Its shrine appears in Land of Waves.
Health 4,700 · Damage 26 · Shrine: Forest of Death
Its shrine appears in Forest of Death.
Health 5,200 · Damage 28 · Shrine: Kumo, Hidden Cloud Village
Its shrine appears in Kumo, Hidden Cloud Village.
Health 5,800 · Damage 30 · Shrine: Konoha in Ruins
Bond with 
Naruto: +50% damage, more frequent summon.
Its shrine appears in Konoha in Ruins.