What I would check first: Would this make it a one-car garage? If so, will that affect your decision or the sales price of the house. If you want more lawn, and are okay with a one-car garage, you could replace the garage door with 2 garage doors and reduce the driveway to one lane, allowing you to put lawn/garden in front of your house. If you decide not to go ahead, I'd replace the pavers/blacktop to the left front with grass or garden.

Painting the garage door the color of the siding would help it blend it. A few windows wouldn't hurt, either.

Usually the garage dimensions are oblong to fit the length of car, plus walking around it, plus mechanical equipment in warm climates, and possibly steps to inside. Rotating it might make for an uncomfortable functionality depending on that. Besides the driveway, there is also the need to provide a new curb cut, which can be an entirely expensive animal unto itself. And I don't understand your statement about the lawn/patio, but in most neighborhoods, looks like yours included, the front lawn is more an ornamental area, not comfortably usable for outdoor living.

ACK! I just lost my draft post....! I agree with Sigrid and 3onthetree. Painting that garage door to blend in better instead of calling attention to itself is a good, easy place to start. And altering the location of the garage entrance might require a deeper garage, which could result in a violation of things like set-back limits. We had to go to our Town's Committee of Adjustments to get approval when we widened the garage from a singe-car one to a double one' which put us outside of the set-back limits for a small part of the garage - our house and garage is shaped much like yours....) Also you'd need to ensure the roof line/slope/shape etc. blends well with the rest of the roof, so the help of an architect might help with that.

Personally I prefer the L-shape house & garage look to the 'welcome to my garage' look of a dominating road-facing garage. The current layout gives you better gardening space too - but then I'm a gardener so maybe that factor doesn't matter to you :-) Plus you'd still need a nice, wide paved path from the driveway to the front door anyway.

I think it would be rather expensive, that is a lot of concrete to remove. If you have the $ and it is space wise/set back feasible, I would too. Side and back garages waste a lot of green space and are too much concrete.because you have to have the space to turn around. .

As other people have suggested, a darker colour for your garage doors would provide a better balance.

I've played around a bit to improve your curb appeal. Removed the shutters and repainted in a more neutral colour. Added taller evergreen shrubs to your existing bed at the front, and enlarged the bed at the side, removing the wooden structure. My photoshop skills are inadequate to show it, but it would look good if you could have some edging plant along the front brick edging, that would hang over a bit to soften the edge. White alyssum for example, if that grows well where you live.

A lighter front door colour would draw the eye to the front door instead of the garage and driveway.

I also think you can reduce the size of your driveway. If you don’t need the driveway for parking, you can gradually narrow it down to one car width. There is definitely way too much concrete there now.

Thanks Sigid. 

My goal was not to add more lawn, but add an additional room in front of the driveway is reduced and garage entrance is changed. 

Garage is large enough. 21x21 feet.. after changing the orientation, it should still fit two cars..

"after changing the orientation, it should still fit two cars"

Except the door will not fit without rebuilding the roof as the back is run longer than the front and at the minimum the wall would need major reframing for a new header, etc., etc..

Depending on where you want to add your new room, you will likely need to reconfigure your roofline where the new space is added. That will add quite a bit to the cost.