BioShock Infinite: The Complete Edition

This achievement is cumulative across all playthroughs and games (credit: o HICKMEAT o ), so you'll likely get it one way or the other with quite a few chances. If you'd like, a specific option follows:

One option is to do the following:

In between the Salty Oyster Bar and Founder's Books (right before the "Emporia" level), there are two Tesla coils you can ask Elizabeth to summon.

If you use the vigor Undertow to knock the weaker enemies or weakened enemies towards or into the Tesla coils they will be shocked on their way down and you will make progress towards this achievement.

Can easily be done just in this area, in one or more visits/checkpoints.

EASY way to get ALL 10 in one battle without reloading.

Best place to do this is Port Prosperity once you get into Grand Central Station and there a big battle. This is the part right after riding the railcar up with the creepy brother and sister appearing doing various things like baseball and dancing.

Once you get into the main room of Grand Central Station you can get 10 kills just in that battle without reloading. Just tear in one of the tesla coils on either side and get the enemies to follow you next to them. There are tons of melee ones who charge you too which is even easier. Just keep sprinting around getting enemies to follow you into them and wait for them to die. Rinse and repeat. Having the gear that makes you sprint faster when shields are down is very helpful as is full shields upgrade. I used a carbine to hurt them with a shot and then bucking bronco to hold them in the air near the coils to make it easier.

I had zero before this part and got 10+ just in this battle without dying or reloading. Should be pretty easy.