I use a Linksys WRTSL54GS with Thibor 17C firmware (linksysinfo.org).

A very nice home router with a 4 port 10/100 switch and 802.11 B/G WiFi.
Best feature is a USB port where you can connect a flash thumb drive or external hard disk or a printer. With a hub, you can connect several devices.
There is a UPnP Media server that can stream music, videos, pictures etc from the attached storage device to any UPnP client like Canola or Mediastreamer. Also a Samba server so you can mount a shared folder and an FTP server so you can access the attached storage from the internet. All this without needing your PC to be turned on.

And then there's the normal features of Thibor's excellent version of HyperWRT like custom firewall scripts, QOS and gaming settings, UPnP port forwarding, DDNS updating, Static DHCP so your devices always get the same IP address, custom access restrictions if you want to limit the times your kids can access the net, telnet and ssh access to the linux shell, adjustable WiFi output power (default is 50%), site survey to see what other nodes are in your area.... the features go on and on.

I use WPA2 Personal security setting with TKIP + AES and my 770 connects with no problems.

If you're getting interference from neighbors have you tried changing channels on the router? I use Netgear WGR614 works pretty good. I occasionally have problems with my 770 connecting to it requiring reboot of the router. It's an odd problem though, because the 770 is the only one that has the occasional problem, since my laptop, pda, and wireless media streamers have never had problems connecting to the unit.