Between MAME's XML output and the frontend helper files maintained by folks like AntoPISA at
http://www.progettosnaps.net, a driving/steering-specific database should be easily generated. Even Vas Crabb's "minimaws" (included with MAME) could probably generate something satisfactory.
As for "live on the 'Net right now", Curt, you may be interested in Arcade Database:
http://adb.arcadeitalia.net/lista_mame.php?lang=en which has a search engine with fairly advanced filters. I'm not sure that the filters have enough details on the inputs to filter how you want, but the XML will have some.
As an example, see their entry on 280-ZZZAP (Dave Nutting Associates / Midway, 1976):
http://adb.arcadeitalia.net/dettaglio_mame.php?game_name=280zzzapFrom MAME's XML, it displays:
Players: Only one supported (solo)
Input:
❨1❩ Paddle, range 1-254 Δ 10, sensitivity 100, reversed directions
❨2❩ Pedal, range 0-15 Δ 64, sensitivity 100, 1 pedal
Buttons / keys: 1
Coins: 1
However, not all that information is present to be used as a filter in the search filters. But you can display (for example) all games with Pedal(s) AND Paddle(s), etc.
If you want, you can possibly contact ADB's admin, motoschifo, with feature requests to add the functionality you need. If he believes multiple people may also want those features, he'll add support quickly.
In the event that MAME's XML and sourcecode is lacking information you need though, you'll need to roll your own database. I did just that a long time ago and attempted to list all arcade games that had Force-Feedback-like effects. That was, like, 2002 and not only does MAME increasingly list those (see Outputs) but also it's possible to hook that up to external controls when you have the required technology (see projects like Howard Castro's MAMEHooker)!
Databases to keep an eye on: Spludlow MAME, which is a test of this one guy's web database software. It's new (ish) and he seems to keep adding new features every month:
https://mame.spludlow.co.uk/Default.aspxBasically all other online "MAME database" websites are old and outdated.