Is the word mágico the same in Brazilian and European Portuguese?

Yes

The word "mágico" is identical in spelling, meaning, and grammatical function in both Brazilian and Continental Portuguese. The only difference is pronunciation.

• Brazilian Portuguese: The pronunciation is more "open." Vowels are generally more clearly articulated, and the unstressed "o" at the end of the word is pronounced as a distinct "u" sound ([má-ji-ku]).
• Continental Portuguese: The pronunciation features significant vowel reduction. Unstressed vowels are often shortened, clipped, or almost swallowed, making the word sound more closed and much faster ([mág-ju]).

Brazilian Portuguese Examples

1. O show do mágico foi incrível. (The magician's show was incredible.)
2. Este lugar é um lugar mágico. (This place is a magical place.)
3. Ela tem um toque mágico para a pintura. (She has a magic touch for painting.)
4. Foi uma noite mágica para nós. (It was a magical night for us.)
5. O truque mágico deixou a criança assustada. (The magic trick left the child scared.)

Continental Portuguese Examples

1. O espetáculo do mágico foi incrível. (The magician's show was incredible.)
2. Este sítio é um sítio mágico. (This place is a magical place.)
3. Ela tem um toque mágico para a pintura. (She has a magic touch for painting.)
4. Foi uma noite mágica para nós. (It was a magical night for us.)
5. O truque mágico deixou a criança assustada. (The magic trick left the child scared.)