To be able to do something; to be possible; to be permitted to do.
私は日本語で簡単な会話ができる。
I can have simple conversations in Japanese.
この建物では写真撮影ができますか？
Is photography allowed in this building?
このプロジェクトは一人でできる仕事ではない。
This project is not something one person can do alone.
To be good at; to do well; to be proficient in something.
彼は英語ができるので、外国のお客さんの対応も任せられる。
He's good at English, so he can be trusted to deal with foreign guests.
妹は料理がよくできる。
My younger sister is good at cooking.
私は数学があまりできない。
I'm not very good at math.
To come into existence; to be formed or appear; to gain (a friend, free time, etc.).
クラスで新しい友達ができた。
I made a new friend in class.
明日、急に時間ができたので映画に行く。
I suddenly have free time tomorrow, so I'm going to see a movie.
問題ができたらすぐ先生に聞いてください。
If a problem comes up, ask the teacher right away.
To be made; to be built or constructed; to be established or set up.
駅の近くに新しいマンションができた。
A new apartment building has been built near the station.
今年、工場が新たにできる予定だ。
A new factory is scheduled to be opened this year.
会社の支店が地方に次々とできている。
Branches of the company are being opened in regional areas one after another.
To be finished; to be completed; to be ready.
宿題はもうできた？
Have you finished your homework yet?
料理ができたら教えてください。
Please tell me when the food is ready.
舞台の準備はできていますか？
Is the stage ready?
To grow (of a crop); to be produced (a good harvest).
今年は麦がよくできた。
This year the wheat did well.
この畑ではトマトがよくできる。
Tomatoes grow well in this field.
To be mature, well-balanced, or of fine quality/character (often used in forms like 'できている' or 'できた人').
彼女は若いが、人間的にできている人だ。
Although she's young, she's a mature person.
この小説は構成がよくできている。
This novel is well constructed.
To be by nature; to have been born with a certain quality or aptitude (often used as 'できている').
彼はもともと人をまとめるのができている。
He is naturally good at bringing people together (a natural leader).
あの子は本当に社交的で、生まれつきできているところがある。
That child is very sociable; there's something innate about it.
Colloquial: to become sexually or romantically involved with someone; to be in a relationship (usually as 'できている').
あの二人、最近よく一緒にいるけど、できているらしいよ。
Those two have been together a lot lately — apparently they're a couple.
彼女と彼はできていると噂されている。
There are rumors that she and he are seeing each other.
To become pregnant (colloquial); to have a baby on the way.
妹に赤ちゃんができた。
My younger sister is pregnant.
おめでとう！赤ちゃんができたんだって？
Congratulations! I heard you're expecting a baby?