I'm looking for an application to do the same sort of thing as Wine: Running Windows applications on Ubuntu.
Is there any alternative application instead of install/using Wine?
no there is no alternative to Wine except installing Windows. So either install Windows in a partition or run it under a virtual environment.
The general answer will be no, as stated above. But there are Ubuntu compatible alternatives for many programs which means there might be a native program you can install instead.
there is CrossOver. it's a fork of wine, well tested and supported but not free https://www.codeweavers.com/products/crossover-linux/.
otherwise you have VM solutions (virtualbox, vmware...) but not the same as wine