is this a SQL problem or an application problem
at first glance the SQL is pretty trivial
select my,column,list from mytable where mynamecolumn like "A$"
an alternative would be
select my,column,list from mytable where left(mynamecolumn,1,1) = "A"
however youmention you want to click on a letter, so that means your problem also relates to how you access your data (the front end, the user interface), and yyou give no clues as to what front end you are usign
it could be a web page a more traditional user interface (such as
VB, VC, C#,.NET, Java)
if its a web page then you may want to look at AJAX on a PHP script