Tours Spain and Portugal Globus
I took this tour several years ago and had a great time. The hotels were 4-star and centrally-located, unlike some of the hotels with Cosmos, which is the budget arm of Globus. We covered a lot of ground in a short time, but the itinerary was well-planned.
I flew into Lisbon a couple of days early to do some sightseeing on my own, and stayed on in Madrid for a week after the tour ended. If I had it to do over again, I would spend that extra week in Seville, which I loved.
Tours are not for everybody, and I agree with worldinabag-do not be dissuaded by the negative comments re tours. I travel independently now, but when I first started traveling, tours were a great way for me to see a lot of places in a short period of time. You don't get to see any one place in depth, but I was fine with that. I saw and did more than I ever would have on my own, and met lots of nice people to boot.
There is leisure time built into the tours, so you can go off and do your own thing if you do not want to take one of the "optional tours."