Commercial Email and Spam:
In 2003, Connecticut enacted a law that prohibits sending unsolicited commercial emails to Connecticut residents, unless the emails are marked as advertisements and the recipient is given the opportunity to opt out of further emails. A private cause of action is created by the statute to enforce the prohibition. This law is codified at Connecticut General Statutes, Title 52, Chapter 925 (§ 52-570c).
Note: This statute remains in effect, but portions of the statute (particularly the private right of action for persons other than "internet access service" providers) may ultimately be deemed to be preempted by the CAN-SPAM Act of 2003. See CAN-SPAM Act of 2003: Preemption.
Telemarketing & Telephonic Anti-Solicitation:
Connecticut General Statutes Title 42, Chapter 743M (§§ 42-284 to 42-288A) regulate telemarketing practices. The creation and maintenance of a "no sales solicitation calls" listing is provided for in § 42-288A.
Faxes, Texts, and other Media Anti-Solicitation:
Connecticut General Statutes Title 52, Chapter 925 (§ 570c(a)) prohibits using fax machines to send unsolicited advertising materials.
Unlawful Trade Practices:
Connecticut Unfair Trade Practices Act, codified at Connecticut General Statutes Title 42, Chapter 735A (§ 42-110b).
Pornography:
Connecticut's child pornography statutes define a pornographic "visual depiction" to include electronic data, and thus make it a crime to email child pornography. See Connecticut General Statutes Title 53a, Chapter 952, Part XX (§§ 53a-193, 53a-196d, 53a-196e, 53a-196f, 53a-196g).
In 2010, Connecticut enacted a statute prescribing lesser penalties for "sexting" by minors of images that otherwise would be treated as child pornography under Connecticut's child pornography statutes. See Connecticut General Statutes Title 53a, Chapter 952, Part XX (§ 53a-196h).
Computer-Related Crime:
Connecticut's Computer Crimes Statute, codified at Connecticut General Statutes Title 53, Chapter 949G (§§ 53-451 - 53-454) criminalizes some spam-related activity. See particularly § 53-451(a)(14), § 53-451(b)(7), and § 53-454.