I would vote for Lifespeed as it is faster and better...

Apache is stable and the best web server.

If you are looking for lighter web server, try Nginx. Nginx with varnish will be a great alternative for apache. Better free than paid (litespeed)

It's litespeed and not lifespeed Btw, I would vote to litespeed.

LiteSpeed is much better than Apache - no doubt about it. I've been using it for a very long time now. However, apache is free, and in some (possibly the majority of) cases, there is no need to get the extra performance, speed, etc. that litespeed provides, so it's not really worth the money.

The best one to use (including most cost-effective solution in 'best') depends on the environment that it will run in.

I think it is clear.

Apache all the way.

I mean the mods for the apache will be great benefit and vers the paid lightspeed. If you have the money go for it but if you are dripping it out apache is a reliable http program.

nginx+apache is a pretty good setup. LiteSpeed is so costly.

LiteSpeed is faster, and better. But it does cost more than Apache, which costs absolutely nothing. For most (average) websites, apache would do a good job.

I was using a server that ran LiteSpeed and I will tell you I was so mad, I went to check the site and it was down. I dug around on the LiteSpeed forums to find out that this usually means that the permissions are not correct on the folders.
I didn't change the permissions so still don't know what went wrong with it. I have never had that happen with Apache ever. So knock on wood I have never had any issues with Apache serving web pages.

Apache is not so fast but free and rather stable

Lightspeed is a premium product but its better than Apache.

With Apache you have more freedom to optimize the things, but it is slower then Litespeed.It depends on what you are using the web server for.I personally prefer and recommend Litespeed.

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I think the stats is overestimated a little.

Very true. I notice very little, if not any difference, at all when I'm browsing on servers that use litespeed. I think it's just a complete waste of money. Some people enjoy and utilize the freedom of apache and it's ease to install extra modules and whatnot that some hosts need.

Also, something I never really have gotten to understand, but does litespeed allow for extra modules and does it integrate with cpanel's Easy Apache feature?

me too.

Actually the main aim of Apache is not be the fastest web server, Apache does have equal or you can say parallel performance to other high-performance web servers. So it's depends on user whether he wan to opt Apache or wan to go with Lite Speed.