I've tried many of them this year as I have a number of short-haul trips planned and whilst you cannot take a single blade on a plane you can take a multi-blade cartridge razor.
In order, for me from worst to "best"
1. Harry's - horrible blade and worse foam
2. Bic 3-blade. Decent handle, just a bit scratchy and a bit of razor burn.
3. Cornerstone. Comfortable shave just not close, handle is very slippery, but travel blade guard is handy. I like the non-foaming shave gel also.
4. Gillette Pro-Glide Fusion FlexBall. Best for first use but considering they sell them for one-cartridge-per-month I found them terrible after a week. Eye-watering cost.
5. Bic 5-blade. Comfortable and close enough. Decent grip and weighted handle. Each blade comes with a decent travel cover. When I tried it you got 5 blades as a trial, now I see it's one blade and some foam.
I had not tried a multi blade razor since before the Gillette Mach 3 and I was pleasantly surprised although I'm assuming this has more to do with decent prep than the razor's themselves - I switched to DE and proper prep at the same time.
As for service my Dad uses Cornerstone and rates them highly. BIC's customer service has been non-existent despite multiple emails and I've not wanted or needed to contact any of the others.