Shameless/Heartwarming

In the original series:
Many in the first few series.
 * Ian telling Fiona he is gay.
 * Debbie telling Fiona she has started her period.
 * Frank's monologue about being lonely to Carol in series 3
 * A recent one is the old school music when Carl runs into Frank's arms in slow motion during series seven. At this moment, this troper knew Shameless was back.
 * Paddy telling an insecure Mimi that he still finds her attractive. This was one of the moments that really humanised the previously terrifying Maguires.
 * Most any moment between Frank and Debbie in the first few seasons before she became the new Fiona.
 * Ian had several with Danny, a deaf teenager. My favourite was a scene where they're non-sexually sharing a bed. Ian signs good night, which Danny somewhat morosely returns. Ian does head-to-foot, him taking the foot. After he's laid down, however, Danny gets up, causing Ian, who feels it, confusion. Danny lays down at the foot of the bed. Ian sits up, sees Danny's innocent look, which is truly innocent, just a lonely teenager who needs the comfort of friendship, scoffs in amused fondness, and lays back down.
 * In Series Seven when Paddy Maguire is talking to a distressed Karen about ten months after Mandy's death. Karen is crying and says "She was my best friend" Paddy looks extremely emotional that someone else is still grieving and replies "She was my little girl."
 * In the same episode Paddy tells Karen that there's no such thing as in-laws - she's part of his family now. Throughout the episode we see him comforting her and acting as a sort-of surrogate father figure.

In the American series:

 * Sheila going into Mama Bear mode and truly standing up to Eddie once Karen comes home in a crying rage after he publicly humiliated her. She doesn't even realise she's left the house until Frank points it out.
 * Kevin is taking classes so he can finally learn to read and write properly. He does this so he can write Veronica a love letter.
 * Another one for Kevin: he was willing to buy out the bar he worked at just to save it from being owned by someone else and being turned into something else entirely.
 * When Ethel and Maleek are sitting on the bus holding hands.
 * Sheila and Jodie's devoted efforts to take care of Peggy especially considering how horrible she was to them before.
 * Micky
 * Lip's final message to his child, even though Jeremy Allen White's performance was just that strong.
 * Sheila and Jodie taking care of Karen's baby after . Jodie even makes a harness for himself so he can simulate breast feeding the baby.
 * Fiona embracing Lip after he returns home in the season 2 finale.