Ink Studio AI is a good option. It generates custom tattoo designs from text prompts in a matter of seconds, with 12 styles to choose from like neo-traditional, black and gray and surreal. For $7.99 USD per week or $33.99 USD per month, you get unlimited designs, a personal AI tattoo designer, and priority support.
Another option is TattoosAI, which lets you generate designs based on your own ideas with a range of 18 styles, including geometric, watercolor, dotwork and minimalist. It doesn't have a tattoo simulator at the moment, but you can try it out for free, pay $9.99 for a 7-day pass or $24.99 for a 30-day pass, and get unlimited designs and the ability to revisit previous designs.
Last is TattooDesignPro, a general-purpose tool that turns your ideas into detailed designs in a variety of styles. With a variety of pricing options, including a one-time payment, it's a good option if you want to explore tattoo design ideas without having to sketch everything out by hand. It's also been praised for capturing people's personalities and adding creative details to AI designs.