You will read differing opinions from various aquarists on fish behaviour; like humans, some fish just don't fit the norm. But that is taking a risk as I'll explain.
First, angels are predatory with any fish small enough to fit into their mouths. Most fish are like this, which is why fry tend not to survive in tanks with mature fish. But angels attain 6 inches in length (if they are healthy) and will readily and easily eat 1-inch neons, cardinals, and similar fish--if they decide to. And this is the unknown. The fish's natural instinct is to eat smaller fish, you can't change that. Why some never do and others will voraciously, is just "one of those things." Aquartists have lost whole shoals of cardinals to angels.
The other issue is the neons nipping fins. While neons and cardinals are not generally considered nippy, the temptation of angels long filamentous finnage is often too much and neons in particular are well known to take advantage.
What must be remembered in either case is the stress to the fish, even if no physical damage occurs. Fish like neons that are in a closed system with a predator will sense it, even if the predator never attacks; the resulting stress can cause immune system issues and poor health and short lives. Same holds in reverse; the angels can be stressed by little fish darting around them.
A better choice of companion fish to angels are those that are similarly shaped, i.e., disk as opposed to torpedo shape. The Hyphessobrycon species in the Rosy Tetra clade do very well. Several are included in our fish profiles, second tab from the left in the blue bar at the top; use the scientific name index and check out the Hyphessobrycon species. Also the angelfish profile suggests suitable companions.
A last word on the angels; in your 67g tank you have space for a proper shoal. Angels are shoaling fish that should always be in a group (except when breeding pairs are being spawned), 5-6 will do nicely in a well-planted tank as described in the profile. And always acquire the angels together as a group; fewer aggression problems among the fish in the group will result. This also is explained in the profile of Pterophyllum scalare.