1. Talkwalker: Talkwalker is a powerful Twitter analytics tool that offers a free plan with a range of features. It provides real-time monitoring of brand mentions, sentiment analysis, competitor tracking, and detailed reports on audience demographics and engagement. The free plan includes access to basic analytics, while the paid plans offer more advanced features and higher data limits.

2. Brandwatch: Brandwatch is another comprehensive Twitter analytics tool that offers a free plan. The free plan allows users to track brand mentions, analyze sentiment, and access basic reporting features. The paid plans provide more advanced capabilities, such as custom dashboards, competitive analysis, and in-depth audience insights.

3. Sprout Social: Sprout Social is a popular social media management platform that includes a free Twitter analytics tool. The free plan offers features like Twitter profile performance tracking, basic reporting, and scheduling capabilities. While the free plan has some limitations, the paid plans unlock more advanced analytics, team collaboration tools, and enhanced social media management features.