General anesthesia for blepharoplasty?

Although personally I never use general anesthesia for blepharoplasty, it certainly is not wrong to opt for this anesthetic approach. If your surgeon has always done it this way he will not change his personal practice for you. If you trust his aesthetic eye, experience and care, you likely can trust his choice of anesthesia. 

There are so many different way for having facial procedures done that you should not feel forced into doing something you are not comfortable. Surgeons have their own preferences for what works for them to provide the best outcomes in their hands.  A surgeon is unlikely to drastically change their protocols to fit a request such as this. You should be able to find someone good that can perform a blepharoplasty without putting you under general anesthesia- if that is what you want. As you have read from the other comments, there are multiple ways to do this, conscious sedation requires an IV, general anesthesia requires an anesthesiologist. I perform my blepharoplasty whether they are transconjuntival, or subciliary, all under local anesthesia, using some medications given by mouth. So now you have another option for having this done. Get another opinion with another surgeon if you are not comfortable going under general anesthesia and you may find that either you really like your first surgeon and will do whatever they suggest, or that there are other options available that you are willing to pursue. 

We perform most blepharoplasty surgery under  local anesthesia. I don't think general anesthesia is needed for most eyelid surgeries. Talk to your doctor or find someone who will use local anesthesia.

Rountinue upper and lower blepharoplasty can be done under local anesthesia with or without sedation in most patients.  The only discomfort endured is the injections to numb the areas to be worked on.  However, if there are extensive fat pockets to contour or fat to translocate, it may be difficult to keep you comfortable during this.  If you are part way thru the surgery and the local anesthesia is not keeping you comfortable, there is usually not an anesthesiologist waiting to put you to sleep.  Your surgeon likely has good reasons for choosing general anesthesia for your surgery and you should realize it is a very safe option for surgery and there are many medications available to help you deal with any nausea, etc.

I don't think it is needed for uppers.  lowers is a different questions.  For transconj it is possible without general, but the set up needs to be right.  Generally, I would recommend general if the lowers are involved.

Anesthesia choice for eyelid surgery

In great majority of cases eyelids surgery can be performed with properly
administered sedation anesthesia. Of course it requites a surgeon with skills
and knowledge of Periorbital anatomy to properly administered anesthetic into
the tissues. More importantly is that the procedure is performed in a certified
facility, where appropriate equipment, protocols and staff is present.