Particularly since this is the last of Shakespeare's solo plays, it's attractive to see Prospero as the playwright himself, manipulating the spirits and the visitors to the island as the playwright does the actors and the audience. I find him an unsettling, sinister character, and his brother was probably right to kick him out of office in Milan. (Another post coming on Prospero and the First Doctor.)
The Caliban narrative is also instructive: Prospero has landed on the island and dispossessed and enslaved the indigenous inhabitants, decrying them as less than fully human. Jonathan Bate has written of Aimé Césaire's production of The Tempest which explicitly referenced the Caribbean; I can think of an island closer to Shakespeare geographically where this was happening in real life.
As with the last couple of plays, we have an extended interruption of a musical nature - the pagan goddesses who appear to bless Ferdinand and Miranda, plus Ariel is using music as a weapon throughout the play. This must be quite a challenge to stage, and it is one which the Arkangel audio production doesn't quite rise to; indeed, despite a pretty stellar cast (Simon Russell Beale, Adrian Lester) it doesn't really feel confident in itself. But I have got hold of the 1980 BBC production and may see if I can get more enlightenment from it.
Henry VI, Part I | Henry VI, Part II | Henry VI, Part III | Richard III | Comedy of Errors | Titus Andronicus | Taming of the Shrew | Two Gentlemen of Verona | Love's Labour's Lost | Romeo and Juliet | Richard II | A Midsummer Night's Dream | King John | The Merchant of Venice | Henry IV, Part I | Henry IV, Part II | Henry V | Julius Caesar | Much Ado About Nothing | As You Like It | Merry Wives of Windsor | Hamlet | Twelfth Night | Troilus and Cressida | All's Well That Ends Well | Measure for Measure | Othello | King Lear | Macbeth | Antony and Cleopatra | Coriolanus | Timon of Athens | Pericles | Cymbeline | The Winter's Tale | The Tempest | Henry VIII | The Two Noble Kinsmen | Edward III | Sir Thomas More (fragment)