So, seeing that everyone else is going into more depth, here's a bit more indepth responses to each ship:
[hider=Blue Typhoon]Relatively friendly meeting. Raekar doesn't appreciate taking children into a combat situation, but after learning that Chris is actually in his mid 30's will probably screw with him by shapeshifting into a child herself. Philip will want to talk turkey with Tails about the specifications of the Blue Typhoon. Michelle will appreciate the shrubbery. Kai and Knuckles will probably do the old "2 broody boys meet, shake hands, huff at each other and immediately decide that they would gladly give their life to save the other." Jack is gonna want to have a go on the Tornado X. Jay will probably try out their recreational facilities. Asami probably finds solace in the ability to finally girl out with someone like Amy on stuff that isn't technical specifications, weapons or other space stuff.[/hider]
[hider=George Hammond]Friendly introductions. Probably a little apprehension about the egyptian themed lady and the human looking robot walking onboard (SG has a bad history with those) Raekar and Sam nerd out on technical specifications. Jay finds enjoyment by challenging some of the security personels best times in their assault course. Jack and Kai both want to try out an F-302. Asami will be glad to be in the presence of proper military protocol and command rather than their loose structure on the Timeship.[/hider]
[hider=Avenger]After the initial apprehension of working with aliens is out of the way, i imagine that the meeting goes very well. They are very few in number as well, so they have to stick together. Probably a little more apprehension when they see the Ranger Armour as it looks rather reminiscent of the ADVENT armour. Philip and SPARK will probably have a lightning fast exchange in information, Asami is once again so happy to be around a properly disciplined military. Kai is just happy that Asami is happy.[/hider]
[hider=Malevolence II]The Rangers feel VERY apprehensive about the darkness they feel from the ship. Kai will probably take the lead on this one. Jack will probably have a stare down with Grievous while Phil just makes friends with some of the B1's aboard. Asami will probably be very standoffish against Sinnali as she doesn't like the dark and broody girl, especially being dark and broody around Kai. Jay is just not happy on such a dark and dank ship, especially with nobody to entertain with his antics.[/hider]
[hider=Ark]Immediate hostilities as both ships IFF systems [url=https://www.youtube.com/watch?v=0aOpvW9EuMU]immediately target each other[/url] as they recognize each other as Autobot and Decepticon, before both crews wrestle the ships under control. Wipe-Out tries to go on the warpath before being confined to his quarters until they can at least talk. Optimus isn't the first Prime they have met and will probably ask how Vector Prime is doing.[/hider] Raekar will hit on Daniel A LOT and Full-Tilt and Wipe-Out don't really interact with the others unless the others come to them. They just serve "The Master" Trypticon.