I want to start by stating that in Anima injuries are generally taken pretty seriously and it is not a system where raising the dead is something easily accessible or done without heavy investment or cost, usually being more subject to a quest in and of itself. So with that in mind let us get to answering the question.
We should start with a brief summary of what generally happens when a character dies to give basis to the methods outlined below.
- The character dies, which separates the body and the soul.
- Their soul lingers for a duration determined by their POW.
- They get Called to the Flow of Souls.
- At this point the soul will slowly disperse or eventually reincarnate.
Now here is a list of potential methods, sorted by source book, each listing the situations to which they apply.
- Book of Essence - Transmigrate Soul(pg.153): This spell is the base spell useful for putting a soul that is lingering around back into its body. However it needs the body to be in good condition to work, therefore some other healing magic is likely needed before this can be attempted, if the damage is was severe (decapitations, crushed parts, etc) this might even require something as strong as Recreate(Creation. pg.129) to restore it to a 'good' state as determined by your GM.
- Book of Essence - Resurrection (pg.154): If a long enough period of time that the soul has been recalled to the Flow of Souls, then this is one of your options for getting it back. It's limiting in that it does only that. You will still need some other method of putting back in a body (Such as Transmigrate Soul.)
- Book of Essence - Lord of the Souls (pg.154): Just briefly mentioning this as an alternative means of putting a lot of souls into bodies with one spell.
- Book of Necromancy - True Rise (pg.162): While this is not a true resurrection as it does not recall the soul it does allow a character's body, with abilities and memories intact, to come back to life.
- Book of Necromancy - Come back from the Dead (pg.162): This spell I believe is the most comprehensive resurrection spell for a variety of reasons. First and foremost not only does it call a soul back from the Flow of Souls, but it is the only spell that can return a soul that has been scattered. In addition to this it also returns the soul to their body (or a body) if it can. (Note: this does carry the downside that the target into an undead being)
- Summoning Invocation - XX The Judgement (pg.186): This ability undoes every effect within the limited range and time-frame. This includes a character dying and even would revert a character being hit with a soul-destroying effect.
- Sub-path of Time - Undo time (pg.52): Briefly rewinds time in a small area, undoing events that occurred within the area/duration. This includes returning any who died to life. This does not restore to life anyone hit by a soul destroying effect.
- Incarnations - Real Affiny of Ruatha Synn (pg. 82): gains the ability 'Giver of Life" that can potentially raise a person who has died within a minute if they can pass a PhR check. (As long as some other penalties)
- Danu, the Water of Life (pg.85): This Magic Potion can be used to resurrect a person once, however it it still requires to soul to be present to work.
- Asclepius (pg.98): This staff has a resurrection power that works as long as the soul has not yet returned to the Flow of Souls. However it only works once per person and can only be attempted once every 13 days.
- Mjolnir (pg. 101): This hammer has a resurrection power that only works in the middle of a thunderstorm and must be done within 10 minutes of death. It also comes at great risk to the user to perform this task.
Special note: Any character unlucky enough to get hit by the Book of Destruction Spell - Uncreation (Anima core pg. 135) is unable to be restored by any of these methods.
There could potentially be more methods, but as far as I recall these are the only effects that explicitly bring a character back to life.