So there isn't anything I'd be losing by playing the games out of their published order?
I don't think so, no.
The games may include timelines as auxilliary material, and reading those would involve massive spoilers, but it's not very hard not to.
That said, Never7 is actually the first game. It goes N7-E17-R11.
Today's post, Emotional Involvement was originally published on 06 January 2009. A summary (taken from the LW wiki):
Discuss the post here (rather than in the comments to the original post).
This post is part of the Rerunning the Sequences series, where we'll be going through Eliezer Yudkowsky's old posts in order so that people who are interested can (re-)read and discuss them. The previous post was Changing Emotions, and you can use the sequence_reruns tag or rss feed to follow the rest of the series.
Sequence reruns are a community-driven effort. You can participate by re-reading the sequence post, discussing it here, posting the next day's sequence reruns post, or summarizing forthcoming articles on the wiki. Go here for more details, or to have meta discussions about the Rerunning the Sequences series.