Most application vendors do not port to Linux. That's why it's the OS vendors that have to step up to the plate if they want the platform to sell.
Yes, but not in the way you are asking. You're asking for Yet Another Clone App. We've got them by the ton on Linux. Some are quite decent, some really aren't competing.
I told what Linux OS vendors need to do if they want application vendors to notice Linux : Market the hell out of the Linux desktop to gain share. Once they break 3-4% market share, application vendors will notice and port their stuff, just like they do for Mac.
The thing most, most of the Linux vendors have accepted long ago that the Linux desktop is a wasted effort. The money poured into marketing it to show people it's viable won't bring in the profits that just selling it off as a server or developer workstation does.
We pay for Linux where I work, we have something around 400-500 installs going (I won't say servers, since most of these are VMs). I'm pretty sure our vendor is quite happy with the check we cut him and he doesn't care that a big compaign could bring in a few extra consumers with 50-99$ purchases.
The only reason why I stay on the Mac is the lack of consumer apps in Linux (or preferably, an affordable Solaris).
Solaris is still free (as in beer) even after Oracle had its way and killed OpenSolaris. How much more affordable can you get ? (how long it will remain free is a mystery though)
If you need consumer apps, that's fine, but don't expect them to come from OS vendors. I find I use more open source stuff that I used on Linux on my Mac than anything else anyway. MPlayer, Virtual Box, Transmission, Chrome, GCC, nmap, X.org, Ruby, Perl, the GNU userspace etc.. The only reason I keep OS X on my Macs is because it is Unix. Why go for an imitation when you've got the real deal ?
RedHat, Novell, Canonical, they aren't in the business of writing Photoshops and Mayas, they just don't have the expertise and the garantees of profiting off such an endeavor aren't there at all.