‘寿司（すし）’ is often spelled and pronounced with the honorific ‘お,’ though you will see it without as well.
The question is asking us which foods we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we like sushi. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
お寿司が大好きです。
おすしがだいすきです。

The question is asking us which foods we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we like sushi. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
お寿司が大好きです。
おすしがだいすきです。

To refer to green tea, we use the unmodified ‘お茶（おちゃ）’. To refer to black (European) tea, we use ‘紅茶（こうちゃ）’. Make sure not to refer to them with the literal translation of *緑のお茶（みどりのおちゃ）or *黒いお茶（くろいおちゃ）
The question is asking us which drinks we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we like green tea. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
お茶が好きです。
おちゃがすきです。

To refer to green tea, we use the unmodified ‘お茶（おちゃ）’. To refer to black (European) tea, we use ‘紅茶（こうちゃ）’. Make sure not to refer to them with the literal translation of *緑のお茶（みどりのおちゃ）or *黒いお茶（くろいおちゃ）
The question is asking us which drinks we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we like green tea. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
お茶が好きです。
おちゃがすきです。

The question is asking us which music we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we rock music. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
ロックが好きです。
ロックがすきです。

The question is asking us which music we like. We can answer in whatever way that we like, but for the sake of illustration we will say that we like rock music. This is a ‘好き（すき）’ sentence, so we will use the particle ‘が’ to mark the thing that we like. We arrive at this sentence:
ロックが好きです。
ロックがすきです。