Can you please check these sentences, Writeacher? It's urgent.

1) I'd like to get/have my money sorted out ( I need a synonym) before I leave for university.
2) I want the bank to give (issue is possible?) me a credit card.
3) I've tried many times to stop smoking but I have never succeeded/managed to (are both possible?):
4) I can't wait to go to the seaside.
I'm looking forward to going to the seaside.
5) I can't help/I can't resist/I can't stop (??) spending all my money on clothes.
I've just enrolled at university/for a course (??)
6) They didn't do anything apart from/except for (Can you think of other possibilities? but?) trying on boots all day!
7) I only get three euros pocket money a week.
He has a new gadget for cleaning (to clean is possible? the car.

1) I'd like to get/have my money sorted out ( I need a synonym) before I leave for university.

I'm not sure there's a one-word synonym for "sort out" -- http://www.collinsdictionary.com/dictionary/english/sort-out -- but I'd rephrase the sentence this way: I'd like to have a good working budget before I leave for university.

2) I want the bank to give/issue me a credit card.

3) I've tried many times to stop smoking but I have never succeeded/managed to. (are both possible? YES)

4) OK (I'd just say "the beach" but "seaside" works, too!)

5) I can't help/I can't resist/I can't stop spending all my money on clothes. ALL ARE FINE.

I've just enrolled in a course at the university.

6) They didn't do anything apart from/except for (Can you think of other possibilities? but?) trying on boots all day!
They didn't do anything except try on boots all day.

7) OK

He has a new gadget for cleaning (to clean is possible? the car. YES.

Sure! Here are the revised sentences:

1) I'd like to have my money sorted before I leave for university.
- You can use "have" as a synonym for "get" in this context.

2) I want the bank to issue me a credit card.
- "Issue" is a suitable synonym for "give" in this context.

3) I've tried many times to stop smoking but I have never succeeded/managed to.
- Both "succeeded" and "managed to" are possible options to express that you haven't been able to stop smoking.

4) I can't wait to go to the seaside.
- This sentence is grammatically correct and conveys the excitement about going to the seaside.

5) I can't resist spending all my money on clothes.
- "Can't resist" is the correct phrase to use in this context.

6) They didn't do anything except for trying on boots all day!
- "Apart from" and "except for" are both suitable phrases to use in this context. Another option could be "but" as you mentioned.

7) I only get three euros pocket money a week.
- This sentence is grammatically correct and states that you receive only three euros as pocket money every week.

He has a new gadget to clean the car.
- Using "to clean" is also acceptable in this context.

If you have any more questions or need further assistance, feel free to ask!