Edit: lol you are too fast, toritoribe-san! Oh well it's good to see how my answer stacks up to yours
Ahh, Japanese counters. Here's a pretty extensive list:
Japanese counter word - Wikipedia
Your sentences are geared more towards say, the third of something, as opposed to three of something. (
quicklink to ordinal numbers). This is where the wonderful 目 character comes into play, but you should use the counter character that is appropriate to what you are counting.
OK let me ask a little differently, if I may:
Ok so for "please get off a the 3rd station",which one is correct?
三つ目「みっつめ」の駅で降りってください
三番目「さんばんめ」の駅で降りってください
第三「だいさん」の駅で降りってください
of the three, 三番目 sounds the best to me, but I would probably say it more like 後三駅降りてください, "after three stations, get off."
Also, 降りる is an ichidan verb, so it would be 降りてください。
"This is the 3rd book of the trilogy" which one is correct?
これは三部作の三つ目の本です
これは三部作の三番目の本です
これは三部作の第三の本です
Hmm, 三冊目 seems right to me, but if you're specifying it's a trilogy already, you could just say 三部作の最後の本
"Today is the 3rd occasion of snow this month" which is correct?
今日は今月の降雪の三つ目の節です
今日は今月の降雪の三番目の節です
今日は今月の降雪の第三の節です
I would want to say 今月で三回目の降雪, or 三度目
"Today is the 3rd biggest snowfall this month" which is correct?
今日は今月の降雪の三つ目の大です
今日は今月の降雪の三番目の大です
今日は今月の降雪の第三の大です
Thanks
hmm, I'm not too sure about this one. 今日の降雪の量は今月で三番目に大きいです。 ugh i don't know about that haha.