再(zài) means the ‘adding the same action’, and the verb it modified can be repeated, such as qù去xiǎng想 etc.
However, xiǎng想 is a stative verb when expresses the meaning of ‘want’ rather than ‘think about/consider’, so it can only be extended rather than repeated.
Therefore, the grammatical way to express is wǒ- xiǎng-zài-kànyībiàn-diànyǐng 我想再看一遍电影
