Java program that reads user input until 0 is entered, also makes a few calculations (evens/odds, average, etc.)

When reading the first numbers to populate large and small we only need to do that once. And without re-reading the numbers with in.nextInt() because that will eat up the next inputs that are entered, which was probably causing the not terminating at zero error.

while ((input = in.nextInt()) != 0) {

        if (counter == 0)
          small = large = input;

        if (input != 0)
            sum = input + sum;
            counter++;

        if (input > large)
            large = input;

        if (input < small)
            small = input;

        if (input % 2 == 0)
            even = even + 1;
        else
            odd = odd + 1;

        }

You are inputting extra numbers in the loop body for large and small. Use ++ instead of += 1, I would prefer Integer.min and Integer.max; initialize small and large to something very large and very small respectively. Something like,

double even = 0, odd = 0, sum = 0;
int counter = 0, input = 0, large = Integer.MIN_VALUE, small = Integer.MAX_VALUE;
System.out.print("Enter a series of values (0 to quit): ");
Scanner in = new Scanner(System.in);
while ((input = in.nextInt()) != 0) {
    small = Integer.min(small, input);
    large = Integer.max(large, input);
    sum += input;
    counter++;
    if (input % 2 == 0) {
        even++;
    } else {
        odd++;
    }
}

if (counter > 0) {
    double average = sum / counter;
    System.out.println("The smallest integer is: " + small);
    System.out.println("The largest integer is: " + large);
    System.out.println("Total number of integers entered is " + counter);
    System.out.println("Total even numbers entered is " + even);
    System.out.println("Total odd numbers entered is " + odd);
    System.out.println("The average value is: " + average);
} else {
    System.out.println("No data was entered.");
}

WAP to input a number and check ut is even ir odd until user user input is zero using infinite for loop.
Using format:
for(;;)
{
}