Below is a list of the modules I've chosen to include on my sites from their respective plugins. I've gone through each module and compared them to their counterparts, if they had one, and chose the ones that I believe either had the better feature set, more options, or better user experience, etc. Further down I've listed every module and my thoughts about each if you want more detail.
CKTechCheck on YouTube
Subscribe to my YouTube channel to see more content on WordPress website development and number of other passions
A personalized Google Ad
Below is a list of every module offered by both plugins. I identify which plugin offers the module and when the module was first introduced (innovation leaders). Hover or click each list item to read my perspective on each module, specifically any special features or options that give one module version an edge over the other. Again I will try to keep this list as update as is reasonably possible.
Display the Author Badge on the posts, pages in a stylish way
Different source options
Easily create great looking image comparison, before and after slider
More style options and slider options
Breadcrumbs Module allows you to create a hierarchical representation of the navigation links
Create a stylish business hours section that suits your website
A few more timing settings
Build trust and authority by fetching real reviews from Google and Yelp directly on to your website!
Create stylish call-to-action buttons
Variety of hover animations
Display Category or Custom Taxonomy on any page in a grid or carousel style
List and carousel options
Add a column separator between rows and columns
Create an attractive and simple Contact form for your website
Create magazine style layouts with any content type
More layout options
Both plugins have their unique modules and settings so it'll be really hard to recommend one over the other. I can say there are some really nice quality of life things that UABB imploys like modules with hidden panels are shown when editing that specific content like with flip boxes. I also like that almost every module has a 'Doc' tab that links users to help articles about the module. These two items show how Brainstorm thinks about the end-user when creating their modules.
Share the knowledge! It helps me out too so thank you!