When you're starting a team or building a budget team, there's certain abilities you're going to need to have a chance in head to head, for offense and defense. These are the offensive ones.
Offensive Tackles - Edge protector (or Secure protector). Many people have edge threats or edge threats elite. Edge protectors will give you time to make those short reads needed to beat man coverage. Cheap Edge protector tackles are Andrew Thomas 90 and Tristan Wirfs 90.
Pass catchers (WR, TE, HB) - Short In Elite. This is the best way to beat man coverage, and if you have a budget team, you'll most likely face some man coverage. This ability will get you a little bit of separation on route cuts, as well as give you boosted catching.
QB - Set Feet Lead. This ability will give you boosted ball velocity, which will let you throw tighter windows. This is crucial in Madden this year.
Other high-end abilities you should consider running if you can afford them are Fearless (no QB pressure in the pocket), TE Apprentice (four extra hot routes for the TE when lined up as a TE), Post Up (Blocking wins when in a double team).
Let me know if there's any other necessary ability for offense that I forgot. I'm going to write up a defensive one soon.