"based on the theme of" is correct and commonly used in written English.
It is typically used to introduce the main topic or subject of a sentence, such as when discussing a book, movie, or other work of art. For example: "The novel was based on the theme of redemption and forgiveness, as the protagonist seeks to make amends for past mistakes."
Submissions were based on the theme of "one button games".
Her runway show for fall 2001 was based on the theme of a French circus.
Based on the theme of imagining the future, the show covers several subjects in quite different ways.
He produced three works based on the theme of the market economy as a special form of social organization.
The Khalil Gibran school, which opened in September with about 60 sixth graders, is the city's first school based on the theme of Arabic language and culture.
And it's very important that this year the global community is celebrating the World Water Day based on the theme of co-operation.
Some students made movies based on the themes of earlier discussion: bullying, character building and moral courage.
An ironist and a pessimist, he was nevertheless upset when the jury at the Cannes film festival in 1994 awarded their Palme d'Or to Pulp Fiction, Quentin Tarantino's stylishly violent thriller, rather than to his own Three Colours: Red, the concluding part of the trilogy based on the themes of liberty, equality and fraternity.
On Sunday afternoon, Carnegie Hall begins its "Bernstein 'Mass' Project: A Choral Exploration" in Zankel Hall with excerpts from the score and performances of original choral anthems, composed and sung by New York City high school students, based on the themes of faith, doubt, tolerance and renewal that drive "Mass".
"A Gorgeous Girl Like Me" is a strange and sometimes slapsticky comedy based on the themes of "The 400 Blows," such as the wildness of an abused child and the therapeutic interventions that result and into which Truffaut packs many of his most anarchic and heterodox reflections.
The moving images of Flower and Corpse Glitch only enhance this effect, which teamLab likes to call 'Ultra Subjective Space.' Each frame captures a "film stor[y] based on the themes of: civilization and nature, collision, circulation, symbiosis," according to teamLab's website.
