Screenshot:
The related questions sidebar item is similar to the one on your right, but indicates which questions have accepted answers by coloring them green, additionally displaying the number of answers for each question in parentheses.

Description:
This is a short GreaseMonkey script that adds related questions to the sidebar, similar to how you see them on questions:
// ==UserScript==
// @name firstposts
// @namespace firstposts
// @include *stackoverflow.com/review/first-posts*
// @version 1
// ==/UserScript==
$(document).ajaxComplete(function(e, xhr, settings){
if(settings.url == "/review/next-task"){
var response = JSON.parse(xhr.responseText);
if (response.postId){
$.getJSON("http://api.stackexchange.com/2.1/questions/" + response.postId + "/related?site=stackoverflow", function(data){
var items = data.items;
if(items.length){
var container = $('<div class="related" />');
for(var i = 0; i < items.length; i++){
var link = $('<a class="question-hyperlink" />').attr({href : items[i].link, target: '_blank'}).css('color', items[i].is_answered?"rgb(50,200,50)":"rgb(61,61,61)").text(items[i].title + " (" + items[i].answer_count + ")");
$('<div class="spacer" />').append(link).appendTo(container);
}
$('<div class="module sidebar-related" />').append($('<h4 />').text('Related')).append(container).appendTo($('.sidebar'));
}
});
}
}
});
Here's a minified version for bookmarking:
javascript:(function(){$(document).ajaxComplete(function(e,t,n){if(n.url=="/review/next-task"){var%20r=JSON.parse(t.responseText);if(r.postId){$.getJSON("http://api.stackexchange.com/2.1/questions/"+r.postId+"/related?site=stackoverflow",function(e){var%20t=e.items;if(t.length){var%20n=$('<div%20class="related"%20/>');for(var%20r=0;r<t.length;r++){var%20i=$('<a%20class="question-hyperlink"%20/>').attr({href:t[r].link,target:"_blank"}).css("color",t[r].is_answered?"rgb(50,200,50)":"rgb(61,61,61)").text(t[r].title+"%20("+t[r].answer_count+")");$('<div%20class="spacer"%20/>').append(i).appendTo(n)}$('<div%20class="module%20sidebar-related"%20/>').append($("<h4%20/>").text("Related")).append(n).appendTo($(".sidebar"))}})}}})})();
If any one finds any bugs / has ideas for improvements / has any ideas on how to turn this into an addon, I'm all ears.