Which Plugin do you guys use for Dropship purposes?

If you are dropshipping through AliExpress and using Shopify, then Oberlo would be the plugin to use. If you are not dropshipping through AliExpress, many shopping carts have dropship capability built into their platforms where you can configure incoming orders to automatically be placed with your suppliers.

Whether or not and what other apps are available depends on where you are dropshipping from. Apps like Dropified work for some websites but not others.

Oh, and to answer the headline of your question, other than the very few websites we have that dropship through AliExpress and use Oberlo, we don't use plugins at all for dropshipping from our suppliers. It takes a minute or two to place an order manually and when you are selling high ticket products, making $100+ per order, we really don't see the point in using an app for that - especially since we like to evaluate each order for fraud before placing the order with the supplier. If you are making that many sales and it becomes too big of a burden, you can hire a VA to do it for you for very little money.