You may want to add a snippet like this to your "Layout Update XML". You may update/extend/remove elements as per your will:
<reference name="left_first">
<block type="page/html_wrapper" name="my.account.wrapper" translate="label">
<label>My Account Wrapper</label>
<action method="setElementClass"><value>my-account</value></action>
</block>
<block type="customer/account_navigation" name="customer_account_navigation" before="-" template="customer/account/navigation.phtml">
<action method="addLink" translate="label" module="customer"><name>account</name><path>customer/account/</path><label>Account Dashboard</label></action>
<action method="addLink" translate="label" module="customer"><name>account_edit</name><path>customer/account/edit/</path><label>Account Information</label></action>
<action method="addLink" translate="label" module="customer"><name>address_book</name><path>customer/address/</path><label>Address Book</label></action>
<action method="addLink" translate="label" module="sales"><name>orders</name><path>sales/order/history/</path><label>My Orders</label></action>
<action method="addLink" translate="label" module="wishlist" ifconfig="wishlist/general/active"><name>wishlist</name><path>wishlist/</path><label>My Wishlist</label></action>
<action method="addLink" translate="label" module="newsletter"><name>newsletter</name><path>newsletter/manage/</path><label>Newsletter Subscriptions</label></action>
</block>
</reference>
<reference name="left">
<block type="catalog/product_compare_sidebar" name="catalog.compare.sidebar" template="catalog/product/compare/sidebar.phtml"/>
<block type="sales/reorder_sidebar" name="sale.reorder.sidebar" template="sales/reorder/sidebar.phtml"/>
</reference>
Example from backend:

The layouts itself are located at app/design/frontend/base/default/layout (respectively at app/design/frontend/{your_package}/{your_theme}/layout
).