The Coffee Museum Café (Calle María Adelina Flores 10, tel. 967/678-7876, 8 a.m.–9 p.m. Mon.–Fri., 8 a.m.–8 p.m. Sat.–Sun., US$2.50) tells the history of coffee in Mexico—from its introduction in the late 17th century to its boom in Chiapas  under the dictatorship of Porfirio Díaz (1877–1911), to present-day co-ops of small coffee producers.
There’s Spanish signage only, with an English-language translation in the second exhibit room.
At the end of the exhibits, visitors are gently prodded into a spacious café in the front; to its credit, it serves excellent coffee. The museum and café are run by Tuxtla-based COOPCAFE, an organization of small coffee producers.