How do I write a good personal statement without the repeated use of 'I' in each sentence?

The key to a unique personal statement is indeed to erase repeated common phrases and instead rearrange sentences and the word order whilst also only including key information relevant to the course you wish to apply for. Many people will write down everything they have done which may sound impressive but can be infact useless, as administrators wish to see why you should be let onto that specific course and therefore experience, studies and other skills need to all be interlinked into the topic you wish to study. Paragraphs should be banded together based on similar information, and long introductions and conclusions are of little need. It is key to impress through language use and a sense of highlighting the importance of what you have done, focusing on the skills, developement and enthusiasm instead of a focus on yourself.