+2 There are mild to aggressive razors across the different types of razors. That being DE, SE, Injector or even Straight Razors. I'm with @Kilgore Trout pick up a nice Schick Injector. They can be found cheap on the Bay depending on the model you get.
Thanks for all the welcomes. Tried the 66 travel tech. Worst razor burn ever. Surprised me cause it is closed comb. I think it is the weight and length difference. Probably used too much pressure. Still thinking about the r41. Going to buy the gem as well. Thanks for all the advice.
@wristwatchb, I tried to pm you, said I was blocked. Might be doing something wrong. I am interested in brushes and soap.
There are mild straight raxors.....I think those are called dull. Probably from to many bricks....just saying.
If agree with some of these guys above - you won't find a much better shave than the razor you already have. The Gillette NEW is an excellent razor. I haven't tried an r41 (or a slant razor) but they're meant to be more aggressive - certainly may be the change you are seeking Or as many have suggested, go SE or injector. Different shave again - but you'll be hard pushed to go smoother than you probably are already getting.
to TSD @Michael Hall Remember any excuse to get another razor is a good excuse. It's not about need as much as desire! Travel razors are pretty easy to find, so if it's in that good a condition you can always find another one a little more used.
Things to try; A sampler pack of different blade brands. There is no objective “best brand” so you need to try and find what works best for you. An adjustable razor- there are some great vintage Gillette adjustable.