It's worth noting that the aforementioned list is the unified pronunciation list that was published in 1985 by the Ministry of Education. The reason why you see some words only having a single (unified) reading in that list is due to the necessity of having to unify them in the first place, although there are still quite a few words with multiple readings. Keep in mind that there was no official language of China until 1932. Without going into detail about how pronunciations evolved with the change of dynasties and how China actually has 300+ spoken languages, the need for a unified pronunciation stems from the fact that many people in China, historically and even today, do not speak standard Mandarin as their first language. In other words, prior to 1985 it was much more chaotic. If you want a more up-to-date comprehensive list of words with multiple readings (多音字) you can find it below (although this is not an official government list). I've linked directly to the common words of which there are 106 (although the page does not define what is considered "common").
https://baike.baidu.com/item/%E5%A4%9A%E9%9F%B3%E5%AD%97/108...