Alien vs Predator vs The Terminator is, apart from a long title, a curious three-way crossover, which on itself could be curious (hybrid terminator-alien), but the presence of an Ellen Ripley that continues the infamous 4h Alien movie trend of Ripley & family clones with alien DNA makes everything feel too much.
The main story not bad (how a Terminator laid low until could create a next generation hybrid soldier to try to recreate Skynet and so on), but apart from the aforementioned Ripley things, it looks like 4 issues were too few so story had to be packed so much that in time spans of hours (or as much as a few days) too much happens (don't want to spoil anything, but no matter how hard working a machine is, some stuff makes no sense).
While no match for a classic AvP comic story, a different reading, but I wouldn't say it is amazing.