We define

    list = {x, x^2, x^3};
    rules = {x -> 1, x -> 2, x -> 3};

and then

> 1. 

    Inner[ReplaceAll, list, rules, List]

> 2. 

    ReplaceAll @@@ Thread[{list, rules}]

> 3. 

    Table[list[[i]] /. rules[[i]], {i, Length@rules}]

> 4. 

    fnctn = #1 /. #2 & @@@ Transpose@({##}) &;
    
    fnctn[list, rules]

> 5. 

    MapIndexed[#^# &, Range@Length@list]


all of the above give 

> `{1, 4, 27}`