I always wonder whether when I need to put 'other' before the word people. Some examples,

The other day, I went online to check to see if my medical records were available online. I was shocked to find out they were available to anyone who's interested. So, the conclusion is unfortunately, a lot of [other] people have access to my medical records.

That guy is money! Every movie he stars in makes to the blockbuster. A lot of [other] people in this country know him.

Thanks in advance.

No, you don't need 'other' in your examples. However, consider this.

Some people like Coke. Other people like Pepsi.

Very generally speaking, 'other people' relates to a context involving "more than one set of people".

Best wishes, Clive
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Thanks, Clive. In the first example, is it wrong to include other to exclude myself? I don't see much of a point in doing so but I heard that on CNN.

I wouldn't say it's wrong, but it seems unnecessary.