There are four ways to go with high cutting angles.
1. A Bailey style, such as the LN with high angle frog. The highest angle available is 55 degrees. The Veritas Custom plane offers your choice, so it is possible to get a 60 degree frog.
2. Use any plane with a common angle (45 degrees), and add a back bevel. For example, a 15 degree back bevel on a Stanley #4 creates a 60 degree cutting angle.
3. A woodie, such as the HNT Gordon, comes with a 60 degree bed.
4. A bevel up plane, such as a Veritas BU Smoother, which has a 12 degree bed, together with a 50 degree angle on the blade, creates a 62 degree cutting angle.
In my experience, there is a very different feel when using these planes, regardless of their all cutting at the same angle. The wood may not tell the difference in the way the blade cuts, but the hand certainly does.
The Bailey option, whether a high angle frog or a back bevel, feels quite different to either the BU option or the HNT Gordon. The first two have a high centre of effort, while the latter two have a lower centre of effort. Lower centre of effort = less force required to push the blade. This translates to choosing a BU plane over a back bevelled plane for ease of use. Every time.
Regards from Perth
Derek