Do you want to code a snowman?
JavaScript ES6, 210 208 202 bytes

s=&gt;` 0
8(213)9
4(6)5
 (7)`.replace(/\d/g,p=&gt;`_===_1 ___
 .....1  _
  /_\\1 ___
 (_*_)1,1.1_11.1o101-1.1o101-1&lt;11/11&gt;11\\11 : 1] [1&gt; &lt;1   1 : 1" "1___1   11\\11 11/11 `.split(1)[s[p&gt;7?p-4:p]-1+p*4]||' ')


This is an anonymous function; you use it by executing ([function code])('42232124'). The most aggravating part of this was the arms, which take up 2 lines, so I had to include code for both top and bottom.

The Stack Snippet below has ungolfed, un-ES6-ified, commented code. And you can use it to easily test the code and try out different combinations. Edit: I'm having way too much fun with this. I've added several new features, including a way to generate a random snowman.

Thanks to Yair Rand for saving six bytes.



var f=function(s){
  return' 0\n8(213)9\n4(6)5\n (7)' // Start with a placeholder string with all the static components
    .replace(/\d/g,function(p){ // Go through each placeholder number to replace it with its value
    // The massive string below holds all the possible body parts, separated by 1 for easy splitting.
    // The two at the end are for the top of the arms
    return'_===_1 ___\n .....1  _\n  /_\\1 ___\n (_*_)1,1.1_11.1o101-1.1o101\
-1&lt;11/11&gt;11\\11 : 1] [1&gt; &lt;1   1 : 1" "1___1   11\\11 11/11 '.split(1)
    [s[p&gt;7?p-4:p]-1 // Get the value from the input string. If the current body part
                    // is the top of the two-line arms (8 or 9), drop it down to 4 or 5
                    // Subtract 1 to account for the 0-indexed array.
     +p*4] // multiply by 4 to skip to the relevant code
     ||' ' // To save bytes in the above string, spaces are empty strings, so replace them here
  })
}

// Code for the interactive version follows
// http://codepen.io/hsl/pen/bdEgej
function updateRadios(){$('input[type="radio"]').each(function(){if($(this).is(":checked")){var t=$(this).data("p"),i=$(this).data("v");input[t]=i}}),inputS=input.join(""),update()}var input=[],inputS=$("#code").val(),update=function(){$("#p").text(f(inputS)),$("#code").val(inputS)};$('input[type="radio"]').change(updateRadios),$("#code").keyup(function(){inputS=$(this).val(),update()}),updateRadios(),$("#random").click(function(){for(var t=0;8&gt;t;t++)$("div:eq("+t+") input:eq("+Math.floor(4*Math.random())+")").prop("checked",!0);updateRadios()});
body{font-family:sans-serif}h2{font-size:18px;font-weight:400}label{display:block}div{display:inline-block;margin:0 10px}#code{width:70px}
&lt;script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"&gt;&lt;/script&gt;&lt;div&gt;&lt;h2&gt;Hat&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p1" data-p="1" data-v="1"&gt; Straw hat&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p1" data-p="1" data-v="2"&gt; Mexican hat&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p1" data-p="1" data-v="3"&gt; Fez&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p1" data-p="1" data-v="4" checked&gt; Russian hat&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Nose/mouth&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p2" data-p="2" data-v="1"&gt; Normal&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p2" data-p="2" data-v="2" checked&gt; Dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p2" data-p="2" data-v="3"&gt; Line&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p2" data-p="2" data-v="4"&gt; None&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Left eye&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p3" data-p="3" data-v="1"&gt; Dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p3" data-p="3" data-v="2" checked&gt; Bigger dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p3" data-p="3" data-v="3"&gt; Biggest dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p3" data-p="3" data-v="4"&gt; Closed&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Right eye&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p4" data-p="4" data-v="1"&gt; Dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p4" data-p="4" data-v="2"&gt; Bigger dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p4" data-p="4" data-v="3" checked&gt; Biggest dot&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p4" data-p="4" data-v="4"&gt; Closed&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Left arm&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p5" data-p="5" data-v="1"&gt; Normal&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p5" data-p="5" data-v="2" checked&gt; Upwards&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p5" data-p="5" data-v="3"&gt; Downwards&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p5" data-p="5" data-v="4"&gt; None&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Right arm&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p6" data-p="6" data-v="1" checked&gt; Normal&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p6" data-p="6" data-v="2"&gt; Upwards&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p6" data-p="6" data-v="3"&gt; Downwards&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p6" data-p="6" data-v="4"&gt; None&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Torso&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p7" data-p="7" data-v="1"&gt; Buttons&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p7" data-p="7" data-v="2" checked&gt; Vest&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p7" data-p="7" data-v="3"&gt; Inward arms&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p7" data-p="7" data-v="4"&gt; None&lt;/label&gt;&lt;/div&gt;&lt;div&gt;&lt;h2&gt;Base&lt;/h2&gt;&lt;label&gt;&lt;input type="radio" name="p8" data-p="8" data-v="1"&gt; Buttons&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p8" data-p="8" data-v="2"&gt; Feet&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p8" data-p="8" data-v="3"&gt; Flat&lt;/label&gt;&lt;label&gt;&lt;input type="radio" name="p8" data-p="8" data-v="4" checked&gt; None&lt;/label&gt;&lt;/div&gt;&lt;br&gt;&lt;button id="random"&gt;Randomize&lt;/button&gt;&lt;pre id="p"&gt;&lt;/pre&gt;&lt;input type="text" id="code"&gt;