BT generated the most complaints among broadband providers for the first time and Orange the most for pay-monthly mobiles, according to the latest Ofcom figures.
Overall, the total volume of telecoms and pay TV complaints decreased between October and December.
Complaints were lower quarter on quarter across landline telephone, broadband, pay monthly mobile and pay TV services, while complaints in the mobile pay-as-you-go sector were consistent with levels in the third quarter of 2013.
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Ofcom's twelfth quarterly report aims to provide information for consumers and incentivise providers to improve their performance.
BT generated the most complaints for broadband at 0.32 per 1000 customers, primarily driven by service faults and issues with how complaints were handled, Ofcom said.
EE was the second most complained-about broadband provider, generating above industry average complaints at 0.29 per 1000 subscribers, while TalkTalk also generated complaints above the industry average, at 0.21 for every 1000 customers.
Virgin Media's service attracted the fewest complaints at 0.07 per 1000 customers.
BT's managing director of customer service, Libby Barr said: "BT is disappointed with the results in broadband and TV, despite the fact that we've improved from last quarter.
"BT is the fastest growing business by far in the UK for both pay TV and broadband, and as we process more transactions we have unfortunately suffered more disruption than companies with static or declining customer bases."