I don't spend my life on justfollowing a routine, so I want to work at place where it makes methat exciteds me.

Although people sometimes say X makes me excited, it's definitely more common to say X excites me.

Actually, I don't have a job iI want to do, however, I want to work overseas.

"I" is capitalized because it's a proper noun.

So I decided to go to study in the US.

You can also say:
"So I decided to study abroad in the US."

"To go to study" is awkward.

I don't spend my life on justtime following a routine, so I want to work at a place where ithat makes me excited.

I think that this is a better way to write your sentence.

I also value my time, so I would like to work at a place whichthat gives me a carefree holiday.

You can also say "vacation" instead of "holiday" since they have similar meanings. "Vacation" is used more in American English than "holiday".

Actually, I don'tI don't actually have a job iI want to do, however Ibut I do want to work overseas.

I moved actually into the sentence to sound more natural. The noun "job" needs the indefinite article "a".

I changed "however" to "but" because I think it sounds more casual and natural.

I added "...I do want..." to show the contrast between "I (do not) have ... but I (do) want..." Because you are saying that you want to work overseas even if you don't know what you want to do for work.

So I decided to go to study in the US.

You don't need to have "go to study..," when studying in the U.S. means you will need to go there.

You could also say "I decided to study (abroad) in the U.S." if you want to be explicit that you will need to travel to study there.

I don't spend my life on justfollowing a routine, so I want to work in at place where it makes methat exciteds me.

You might want to include a "like" or "enjoy" in the first part:
"I don't (like to) spend my life following a routine..." or
"I don't (enjoy) following a routine..."

"at a place that..." can work, but I think "in" sounds more natural.

I also value my time, so I would like to work at place whichsomewhere that gives me a carefree holiday.

Because you've said "at a place" a few times already, I felt like using another word, like "somewhere" or "someplace" would sound less awkward. But "at a place" would still be correct.