When Harry was about to start his first year and he didn't know how to get to platform 9 3/4. Harry overheard Ron's mum saying muggle, a wizarding world word and followed her. upon hearing her dictate to her children how to get onto platform 9 3/4, he asked her how to get there. Ron sat with Harry on he train and they were friends ever since.
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Harry Potter and Ron Weasley met at King's Cross station on the 1st September 1991.
Harry didn't know how to get onto the platform and overheard Mrs Weasley talking about muggles, so he asked her. Fred and George then helped Harry to get his trunk onto the train before Ron joined Harry in the train compartment. They quickly became fast friends, bonding over their different backstories and lots of sweets.
In the leaky cauldron on his way with Hagrid to Diagon Alley for his very first time.
Harry Potter first met Quirinus Quirrell at the Leaky Cauldron on the 31st July 1991.
Harry disliked Draco Malfoy from the first time he met him. It was before Harry started at Hogwarts, but he was buying his supplies. Malfoy reminded Harry strongly of his cousin, Dudley, who went out of his way to make Harry miserable. Malfoy bragged about being able to bully his father into things, and was talking down about other people, without knowing Harry at all.
During the series they hated each other however, at the end they were at least civil to each other due the the Malfoy family changing sides at the last minute and Harry helping them avoid Azkaban (not to mention Harry Potter saving Draco Malfoy's life twice).
Out of his friends he met Ron Weasley first, but the first wizard dude he met was Hagrid, when the Dursleys moved to the shack in the middle of nowhere. Although until Harry was one, he was being looked after by his parents, then Hagrid, Dumbledore and Mcgonagle took him to the Dursleys. But he can only remember meeting Hagrid on his 11th birthday in the shack.
Episode 48
Draco Malfoy went to school, and was in the same year as Astoria's older sister Daphne Greengrass. So it is likely that they meet through Daphne, of course as both families were pure-blood they might have known each other.