It's a lot of planning and maximizing value, but it's actually easy to stay frugal with no time. The main thing is see what you actually enjoy doing (my neighbor loves mowing his yard, I don't), and what you value your time at (I like to start at my free time is worth 1.5-2x my salary, more on the weekends).
Shopping. I favor big trips once a week over multiple smaller trips for fresh foods every night. For 2 people I tend to spend $100/week on food, but some weeks I'll spend $200 if there's a lot of good sales (especially on staples or ours that don't go bad - like canned beans). I only shop at one store once a week. So yes I leave some savings on the table, but I value my time and don't want to spend my entire weekend shopping to save $5.
Meal Planning - this goes with shopping, but plan meals around a single shopping trip. We tend for fresh veggies on Sun-Wed, and frozen on Thurs-Sat. Best of both worlds, and frozen veggies are a hell of a lot better than I remember from being a kid. If we want a sandwich item (hamburgers, bbq sandwich, etc) those tend to be earlier in the week so the rolls are still fresh. Pasta, tacos, chicken and rice are all good late week items - easy to cook, don't go bad.
Crockpot cooking! This is amazing, set it up the night before, plug it in before you go to work and full cooked meal that night.
Leftovers. We cook each meal for 4 people. Eat the same thing (or very similar) for 2 nights. It's takes almost no noticeable extra time to cook 4 cups of rice over 2 cups, but it's a last faster to nuke it the next day than it make a new pot of rice.
Mowing the lawn - I outsource that to a neighborhood kid. I know it's not MMM-approved, but it saves me time and teaches the kid the value of hard work. Plus, that's what I did in the summer as a kid to make money - so why not support the next generation.
Cleaning the house - another non-MMM activity, we have a maid come once a month, mainly to scrub the bathroom and kitchen (the things the wife and I disagree on what is considered 'clean'). Once again, this is valuing my time more than the maid charges. On the non-maid weeks, we'll vacuum the house, wipe down counters, pickup crap. This takes 30minutes max. We do this on Wednesday nights so we aren't losing weekend time (which I value even higher than weekday time) and when the maid does come, it is on Wednesdays, so the house is usually clean for the weekend. Depending on the size of your house - maybe a romba to help keep some rooms looking better.
sidenote - before you can even think of outsourcing simple jobs, make sure you have your finances under control. Spending is controlled, bills are all automated, no CC-debt, only mortgage and student loans that are being aggressively paid down, retirement is on track, e-fund in place, tons of savings, etc. If you have $15k in CC debt and are trying to decide if a maid is worth it, go slam your hand in a door, it isn't worth it to pay someone else until you have everything else under control.