Jumping in;
IMO the game engine market is rapidly evolving and I am very worried that Construct will not be able to keep up with engines like GDevelop or Godot being supported by grants and donations, eating away at significant chunks of market share.
The free version of C3 as it stands is very limited and I understand that it is not something that can change without reducing license sales. However, have you considered doing a timed "free trial" of a paid version? Something like 14 days of having the full engine unlocked, once per account before having to pay for the full thing. It would make it far easier for a lot of us to recommend the engine to developer friends looking to try it for real.
On another note:
I'm also working on something else to highlight games made in Construct, but it's going to take some time to put together.
Laura_D if you need me to hand over the work done on madewithconstruct.com , its database, or its domain name, let me know and I will gladly do so.
Also, on the topic of recommending the engine, I was at the poki office 3 days ago (Poki is a web games portal I've been working with for a while: poki.com ) and I made a presentation about the work my company has been doing to push web games forward and a lot of that talk has been Construct related. It has also sparked a lot of discussion with Poki staff about the state of game engines for web games.
I am planning on sharing that presentation in the following weeks, as it's not exactly geared at web games but rather games made with web technologies.
In general, I think changing the appearance of Construct can be a community effort, because at the end of the day, an engine is only as good as its community. I'm not as active on the forums as I used to be but that's something that's important for me and it's why I've been working on so much free open source things around Construct. We cannot recommend an engine to power users without power user tools and tutorials, which Construct severely lacks.