As a graphic designer working on a contract basis, the best project type for you would depend on your skills, interests, and the specific needs of your clients. Here are several project types that can be lucrative and engaging for a freelance graphic designer:

- Many businesses and individuals require unique and professional logos to establish their brand identity.

- Offer comprehensive branding packages that include logo design, color schemes, typography, and other brand elements.

- Create promotional materials such as brochures, business cards, posters, and banners for events, conferences, and marketing campaigns.

- Design visually appealing and user-friendly websites for clients looking to establish or improve their online presence.

- Help businesses enhance their social media presence by creating engaging graphics for platforms like Instagram, Facebook, Twitter, etc.

- Work on designing packaging for products, which is crucial for attracting customers on the shelves.

- Offer custom illustrations for various purposes, including book covers, editorial content, or digital media.

- Design visually compelling infographics that convey information in a clear and engaging manner.

- Create animated graphics or videos to add dynamic and interactive elements to your design projects.

- Collaborate with individuals or companies to create unique designs for merchandise, such as T-shirts, mugs, and other promotional items.

- Focus on user interface (UI) and user experience (UX) design for websites and applications to enhance the overall usability and visual appeal.

- Work on design elements for events, including invitations, banners, signage, and other promotional materials.

When choosing projects, consider your strengths, interests, and the current market demand. Additionally, maintaining a diverse portfolio that showcases your versatility can attract a wider range of clients. Regularly updating your skills to stay current with design trends and tools is also important in the ever-evolving field of graphic design.