My, what a broad brush you're painting with.

Are the commuter police going to track me down and beat me with their nightsticks because I have the audacity to ride my bike without fenders, never mind that I live in the desert and get rained on during my commute maybe once a year? Or that I ride far enough and fast enough that I find cycling-specific clothing to be more comfortable and practical, eliminating the need for a chainguard? Or that mounting a chainguard on a derailleur-equipped bike is problematic at best, and never mind that I prefer the closely-spaced ratios and wider range that are available when I've got 27 speeds available instead of 3?

As for the OP, a bit more stability can help with keeping you from being so worn out at the end of your ride, particularly if your current bike is particularly twitchy, er, I mean responsive. A road bike with more relaxed geometry, a touring bike, or possibly a cyclocross bike (some will have suitable geometry and some won't) could be the ticket. For a 60 mile round trip commute, I would personally avoid anything with an upright riding position, since to cover that sort of distance efficiently you'll need to stay as aerodynamic as is reasonable (don't go overboard and get a TT bike!), as well as needing the myriad hand positions and more effective muscle position that goes with the leaned-forward posture of a road bike.