Make the Matrix Digital Rain using the shortest amount of code
HTML, Javascript and CSS: 1024 bytes, 47 points

Features:

Uses Unicode characters (don't think this scores any points though)
Trails fade from bright to dark green while they are being drawn (*)
Trails also fade from dark green to black after the drawing has finished (*)
Random text size in each trail (*)
Trails are randomly repositioned and resized each time they are drawn

(*) I'll claim +5 points for each of these, but let me know if you disagree :-)
Demo:
http://ruletheweb.co.uk/matrix.html
Source code:
Exactly 1024 bytes. It's a bit ugly, I'm afraid.
&lt;head&gt;&lt;style&gt;*{margin:0;padding:0;line-height:1;overflow:hidden;}div{width:1em;position:absolute;}&lt;/style&gt;&lt;script&gt;
w=window;n=w.innerWidth;m=w.innerHeight;d=document;q=&quot;px&quot;;function z(a,b){return Math.floor(Math.random()*(b-a)+a)}f=&quot; 0123456789&quot;;for(i=0;i&lt;45;i++)f+=String.fromCharCode(i+65393);function g(){for(i=0;i&lt;90;i++){r=d.createElement(&quot;div&quot;);for(j=z(20,50);j;j--){x=d.createElement(&quot;pre&quot;);y=d.createTextNode(f[z(0,56)]);x.appendChild(y);x.style.opacity=0;r.appendChild(x)}r.id=&quot;r&quot;+i;r.t=z(-99,0);with(r.style){left=z(0,n)+q;top=z(-m,0)+q;fontSize=z(10,25)+q}d.body.appendChild(r);setInterval(&quot;u(&quot;+i+&quot;)&quot;,z(60,120))}}function u(j){e=d.getElementById(&quot;r&quot;+j);c=e.childNodes;t=e.t+1;if((v=t-c.length-50)&gt;0){if((e.style.opacity=1-v/32)==0){for(f in c)if(c[f].style)c[f].style.opacity=0;with(e.style){left=z(0,n)+q;top=z(-m/2,m/2)+q;opacity=1}t=-50}}e.t=t;if(t&lt;0||t&gt;c.length+12)return;for(f=t;f&amp;&amp;f&gt;t-12;f--){s=1-(t-f)/16;if(f&lt;c.length&amp;&amp;c[f].style){c[f].style.opacity=s;}}}
&lt;/script&gt;&lt;body text=#0f0 bgcolor=#000 onload=g()&gt;