First off I would suggest upgrading to 6.1.3 as you appear to be back a version or two.

Second, I would start looking for javascript errors in your browser, that might help point out what is the problem here.

Do you have any custom javascript embedded on the page?

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Chris Hammond
Former DNN Corp Employee, MVP, Core Team Member, Trustee
Christoc.com Software Solutions DotNetNuke Module Development, Upgrades and consulting.
dnnCHAT.com a chat room for DotNetNuke discussions

I have solved this issue, it seems that the default.css file for older sites doesn't update correctly all of the time. I can't explain it but here how I fixed this problem and the code below. Open up the default.css file (http://mydomain.com/Portals/_default/default.css). Look around line 230 for the section commented as "Module Actions". Replace the code there with the code below up to the section "Common Reusable Selectors" (it is about 20 lines of code), this worked on the few sites I had an issue with:

/* Module actions */
.dnnActionMenuBorder{-moz-box-shadow: 0 0 5px #888;-webkit-box-shadow: 0 0 5px #888;box-shadow: 0 0 5px #888;z-index:-1;
background:transparent;position:absolute;margin:-8px 0 0 -8px;padding: 0 16px 16px 0;width:100%;height:100%;border:1px #ccc solid}
.DnnModule{z-index:902;position:relative;}
.dnnActionMenu{margin:0;padding:0;position:absolute;z-index:906;color:#000;left:10px;top:10px;}
ul.dnnActionMenuBody {display:none;background:#fff;border:5px solid #aaa;padding:10px;border-radius:3px;-moz-border-radius:3px;text-align:left;
position:absolute;left:0;top:10;min-width:480px;-moz-box-shadow:0 0 5px #888;-webkit-box-shadow:0 0 5px#888;box-shadow:0 0 5px #888;}
ul.dnnActionMenuBody li {list-style-type:none;padding:0;margin:0;}
ul.dnnActionMenuBody li.first.last {position:relative;}
.dnnActionMenuTag {background:#aaa;background:-moz-linear-gradient(top, #F3F3F3 0%, #CFCFCF 100%);
background:-webkit-gradient(linear, left top, left bottom, color-stop(0%,#F3F3F3), color-stop(100%,#CFCFCF));
filter:progid:DXImageTransform.Microsoft.gradient( startColorstr='#F3F3F3', endColorstr='#CFCFCF',GradientType=0 );
display:block;padding:5px 10px;border:1px #999 solid;border-radius:3px;-moz-border-radius:3px;line-height:16px;height:16px;font-weight:bold;font-size:11px;min-width:65px;cursor:default;}
.dnnActionMenuTag img{display:block;float:left;padding-right:3px;}
ul.dnnActionMenuBody li{display:block;clear:both;float:none;font-weight:bold;font-size:14px;}
ul.dnnActionMenuBody li span{border:none;display:block;background:none;padding:0;margin:6px 0;width:auto}
ul.dnnActionMenuBody li ul{overflow:hidden;padding:10px 0;margin:0;width:96%;border-top:1px #ccc solid;}
ul.dnnActionMenuBody li ul li{float:left;display:block;min-width:150px;font-weight:normal;clear:none;padding:3px 15px 3px 0px;font-size:11px;border:none;margin:0;}
ul.dnnActionMenuBody li ul li a, ul.dnnActionMenuBody li ul li a img{display:block;line-height:16px;min-height:16px;color:#328DDE;}
ul.dnnActionMenuBody li ul li a:hover{color:#1B4D79;}
ul.dnnActionMenuBody li ul li a img{padding-right:3px;float:left;}