There are several synonyms that could be used in place of the phrase "a thousand times". These include "countless", "innumerable", "endless", "myriad", "umpteen", "a plethora", "countless", "numerous", "multitudinous", and "abundant". Each of these synonyms expresses the same idea of a large number of repetitions or occurrences. Depending on the context, one synonym may be more appropriate than another. For example, "multitudinous" might be more appropriate when describing a large crowd, while "myriad" might be more appropriate for describing a vast array of options. Overall, there are many ways to express the idea of repetition or abundance, which can help to add variety and nuance to one's writing.