Lavabit. I use lavabit and either run a desktop IMAP client or I run a roundcube [1] instance for webmail. Lavabit also provides an XMPP server and address to its users, so you can use any XMPP client for chat. Since lavabit supports IMAP you can use any IMAP client, not just the minimal web client on their site.

[1] http://www.roundcube.net/