PuTTY - Automatic Reconnect After Internet Interruption?

Kitty is a forked version of putty that adds reconnect, send to tray and stored username/password. The auto reconnect works after the machine awakes from sleep as well. It's been very stable for me. FREE :)

Tunnelier provides the functionality I was seeking.

It is free:

Our client is free for use of all types, including in organizations.

There's also a fork of PuTTY called PuTTY Tray which adds a "reconnect on connection failure" option (albeit experimental): https://puttytray.goeswhere.com/

Might not be as useful or convenient for you as it is for me, but I use screen in my ssh sessions and it has the option of resuming and a broken connection with screen -R so long as you connect to the same server (my uni provide 3 servers which they can allocate or you can explicitly choose).

You can use mutli tabbing putty http://ttyplus.com/multi-tabbed-putty/ which allows to reconnect the session back. Beside bringing the session back it allows multi tabbing.