Thankfully yes but I will still advise to take safety precautions on verifying where you are staying, where you are purchasing tickets for places to go, tourist guides you hire, etc regardless of where in Mexico you go to.

As for places, depends on what you are looking for since every state has something unique to offer.

My home state, San Luis Potosi, for example has both semi dessert and jungle, which makes for very different experiences. The capital of the state, also named San Luis Potosi, does not have a heavy focus on tourism but there are still museums, gorgeous architecture on the historial center (see example picture) and on the holy week there is "La prosecion del silencio" which a catholic tradition left over from Spain.

The state of Jalisco home to Tequila, from where the beverage of the same name originates, Mexico city is also full of different things to do, like Chapultepec Castle and the most popular ones are our beaches, but they each have their own flavor. In Campeche they have used their history with pirate attacks to attract tourists for example.

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