The gritty details are in the other posters' posts, but "LAN" something would be focused on L2, while "IP" something should have L3. For either, the "lite" vs. is a subset of the "base" version, less features (which are removed vary per IOS version and platform), while versions "beyond/above" "base" add features. Again, what features are added, depends on the IOS version, platforms and "feature set".
For example, an IP Lite version might support some static routing and perhaps some form of dynamic stub routing. IP Base may include one or more dynamic routing protocols, usually RIP maybe a capacity limited version of OSPF and/or EIGRP. While IP Service may include all the routing protocols and their features, or not. Some platforms have other IOS versions like IP Advanced Services.
Unfortunately, it gets a bit messy, especially, again, it varies across versions and platforms, and other features are involved. For example, years ago, I was in a larger shop running IP Services, and noted, for what we were doing, IP Base would suffice (which saved costs on obtaining and maintaining the IOS). After migrating our network to use IP Base, management decided they wanted to move from frame-relay to ATM. As part of the ATM, we were also going to use inversion mux interface cards. Which was fine, but to use those cards we had to upgrade back to IP Services.
