This is for a write-up in an academic document stating accomplishments.
I am looking for a term that is a near-equivalent of beat one's own record, exceed expectations and set new records.
Outstrips [one's] previous performance
Outperforms [one's] previous achievements
There is raise the bar:
to set a higher standard for other people to follow
The Olympic athlete plans to raise the bar by setting a new World Record for her sport.
When the new professor entered the university, he raised the bar for the other professors because of his superior teaching skills.
In one word, I suggest to excel meaning:
To show superiority; surpass oneself or others.
What about just using "personal best" or "personal record". Runners are always striving for their PR.