To describe a good performance in comparison to others, we can use a range of synonyms for the phrase "do well in comparison with." One option could be "outperform," which implies a superior level of achievement. Alternatively, we could use "excel," which suggests a particularly exceptional level of success. "Outshine" also conveys the sense of standing out as the best compared to others. "Surpass" is another effective synonym that implies exceeding expectations. "Outdo," on the other hand, focuses on doing better than others by improving on an established benchmark. Ultimately, whichever synonym we choose, the aim is to convey a sense of achievement that stands out compared to others.