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

No

While the spelling and core meaning of "lixo" are identical in both dialects, there are differences in pronunciation and typical usage. In Brazilian Portuguese, the word is most commonly paired with the verb jogar (to throw/discard) and refers to a lixeira (trash can). In Continental Portuguese, the natural collocation is with the verb deitar (to throw/put) and the container is typically called a caixote do lixo. Additionally, while "lixo" is used for poor quality in both, a Portuguese person would more naturally use the word porcaria to express that something is "rubbish" or "crap."

Brazilian Portuguese Examples

• "Vou jogar o lixo fora agora." (I am going to take the trash out now.)
• "Esse filme é um lixo." (This movie is trash.)
• "Não jogue lixo no chão." (Do not throw trash on the ground.)
• "A lixeira está cheia de lixo." (The trash can is full of trash.)
• "O caminhão do lixo passou cedo." (The garbage truck passed early.)

Continental Portuguese Examples

• "Vou deitar o lixo fora agora." (I am going to take the trash out now.)
• "Este filme é uma porcaria." (This movie is rubbish.)
• "Não deites lixo no chão." (Do not throw trash on the ground.)
• "O caixote do lixo está cheio." (The trash bin is full.)
• "O camião do lixo passou cedo." (The garbage truck passed early.)