I am really new to the 4e system. I understand a lot of the basics, but my wife and I are looking to start playing with the RPGA, at least to meet new gamers if nothing else. Since we will always be playing together, we want to build a pair of characters that have some synergy. I am looking for recommendations on builds that work well together. To me it doesn't look like there is a huge difference between casters and non-casters in this edition of the game, but I still like things like wizards and sorcerers as a concept, plus I want to be able to do rituals. My wife likes controlling things and enjoys things like charm spells and such.
Anyone can do ritual magic - it just requires Int 13 and a feat. Int 13/Wis 13 and Int 13/Cha 13 open the door to getting it as a multiclass feat for better rituals; bardic multiclass is seriously nice.
Probably the best synergy, as has been mentioned, is between the Essentials Martial classes and the Warlord - the Warlord gives up its relatively lackluster at will attacks to give the essentials guys extra attacks. But I'm going to add a suggestion to the list:
You: Warlord, probably tactical, with high int and wis and multiclassed into wizard for your ritual casting (and again for storm pillar as a combat spell - that thing isn't always useful but when it is, nothing else will do).
Her: Hexblade, Int 13 or 14, with the Bardic Ritualist feat. Gives her a wide range of options for social spells and some very nasty melee basic attacks you should be able to exploit by having her attack, along with some control options.
Both of you are ritual casters with some combat magic, and work together on the melee line. You heal - and grant her attacks (your encounter 1 should be Powerful Warning). Possibly in addition to your own if you take Brash Assault as an at will. She debuffs and damages. And charms and summons - you are better at general rituals, but nothing beats her social rituals (her attack stat would be charisma, and warlocks have some nice utility powers).
If you're set on a wizard, that goes well with anything, but not outstandingly. Also they are dependent on the battleline in front of them as they are extremely squishy (by 4e standards anyway). The synergy between wizard and rogue won't seriously get rolling until at least 3rd level.