Find an organization that already exists and get involved in it. If one doesn't exist, create one.
For packaging, you'd have a few potential avenues: 1. Work to build support politically. Even small groups of 30-40 people (or smaller) are very attractive for local politicians to meet and speak with. 2. Reach out to companies directly. 3. Get earned media (possibly in conjunction with 1 or 2).
If you have small, achievable, reasonable goals, then it may even be a win-win scenario for all of the above, which makes it easier to make progress. For example, you could have a campaign goal of reducing x% of packaging to reduce y tons of waste.
It could be positive media attention for a company to say they've worked with a group like yours (or a small local company!) to reduce packaging and help save the environment (and it may even save the company money).
Finding ways for everyone to win and creating a big tent (as opposed to trying to influence by vilifying) tends to be more successful, in my experience.