well, as you say your primary concern is a program that will match your LH status, the choice is limited.
AFAIK, the only program that will match your status outright is AB - you'll get straight to Gold, which is OW Sapphire (mid tier). Click here to request it (German language only).

AA might match your status or (more likely) you will have to enroll in a challenge to get to Platinum, which involves paying a $240 fee and flying a ceertain amount of points (not miles!) within a given timeframe, usually 90 days.
Browse these threads for more insight:
http://www.flyertalk.com/forum/ameri...solidated.html
http://www.flyertalk.com/forum/american-airlines-aadvantage-combined-airline-program/967395-help-desk-aadvantage-elite-status-challenge-gold-platinum.html


AB Gold status (or any other non-AA oneworld sapphire or emerald status) will get you lounge access on domestic AA flights, something you can't get with AA status of any kind.
However, you'll likely fly a good deal on AA, and non-AA oneworld status will not give you domestic upgrades.

When you fly 80k miles a year with most of them transatlantic in premium cabins you will likely achieve Emerald status at some point in any OW program. Currently, Executive Platinum on AA will confer hard-to-beat benefits for an US-based flyer: 8 systemwide upgrades good on any fare, complimentary domestic upgrades, expanded award availability. Emphasis on "currently", as the consensus around here seems to be that there will be a major devaluation of the program following the US Airways merger/integration.