Name: Linda | Who: your next-door neighbor. (Formal)
Mr. ... I'd like to introduce you to Linda. She's my next-door neighbor. / Mr. ... I'd like you to meet Linda. She's my next-door neighbor.
Name: Franco | Who: your boyfriend. (Informal)
... this is Franco, he's my boyfriend. /... meet Franco, he's my boyfriend.
Name: Bobby | Who: your сolleague. (Formal)
Mr. ... I'd like to introduce you to Bobby. He's my colleague. / Mr. ... I'd like you to meet Bobby. He's my colleague.
Name: Jeremy | Who: your classmate. (Informal)
..., this is Jeremy, he's my classmate. / ..., meet Jeremy, he's my classmate.
Names: Sarah and Jackie | Who: your cousins. (Informal)
..., these are my cousins Sarah and Jackie, they're my cousins. / ..., meet Sarah and Jackie, they're my cousins.
Name: Jessica | Who: your best friend. (Informal)
..., this is Jessica, she's my best friend. / ... ,meet Jessica, she's my best friend.
Name: Natasha | Who: your best friend. (Informal)
... this is Natasha, she's my best friend. / ... meet Natasha, she's my best friend.
Name: Erik | Who: your coworker. (Formal)
Mr. ... I'd like to introduce you to Erik. He's my coworker. / Mr. ... I'd like you to meet Erik. He's my coworker.