What tools have you used for tracking Skills Management at your organization?

I use Zoho People to track skills which provides a full suite of solutions to manage employees and their personal/professional progress. 

General Performance Management  Tool to do OLR
Spread sheet for skill capability and gap analysis

LinkedIn learning and udemy business plan to track the skills

Hard skills are easier to be tracked and measured. This would be the employee experience, certificates, projects deployed, training attended, proficiency in programming languages etc.

This can be incorporated in any HR system in the employee profile so you can list/search and compare employees in case you manage multiple teams and a large number of employees.

On the other hand, soft skills are a bit trickier to measure and assess. This is more subjective; experience and formal training can be an indicator.  I've been using https://goverb.com for soft skills and management training; you can pull reports on what training an employee attended. Again, there isn't always a 1:1 correlation; just because someone has been in management training doesn't mean they know how to manage people. I think that soft skills can be learned and can become your second nature if practiced regularly. I measure leadership skills from experience; seeing and observing employees' reactions in difficult situations or when the systems are down tells a lot about them. The employee's feedback tells a lot about managers. I have implemented Gallup-12 questionnaires to assess employee engagement. I don't think there is a simple tool to measure employees' ethics, creativity, resourcefulness, problem-solving, and accountability skills. It is more observational data through direct and indirect observation to answer empirical questions. It's good to have these listed in an annual/semi-annual review so you can track how an employee progresses over various teams and over the years.