• Java

class A<T> extends ArrayList<T> {
    int i;
    A(int lowerBound) { i = lowerBound; }
    public void add(int i, T x) {
        super.add(i - this.i, x);
    }
    public T set(int i, T x) {
        return super.set(i - this.i, x);
    }
    public T get(int i) {
        return super.get(i - this.i);
    }
}

• Ada

A : array (42 .. 47) of Integer;

• Fortran

  integer, dimension(42:47) :: a

• Pascal

var
  a: array[42..47] of integer;

• Perl

use Array::Base +42;

my @a = ('A'..'Z');

say $a[42]; # prints A
say $a[43]; # prints B

no Array::Base;  # restore indexing to base 0

• Python

a = array.array("i", range(42,48))

• Python

class List(list):
    def __init__(self, offset, *args):
        super().__init__(*args)
        self.offset = offset
    def offset(method):
        def wrapped(self, index, *args):
            index -= self.offset
            return method(self, index, *args)
        return wrapped
    @offset
    def __setitem__(self, key, value):
        super().__setitem__(key, value)
    @offset
    def __getitem__(self, item):
        return super().__getitem__(item)
a = List(42, 'abcdef')