OK,I'll give this a shot....
Subcutaneous: Insulin and pain med pumps,clysis,etc.
Venous:1. Good ol' peripheral IV's in dozens of shapes,sizes and colors.
2. Midline catheter.
3. PICC. Again,dozens of shapes,colors and sizes.
4. CVC. Ideally centrally-placed,anyhow. Insertion site could be neck,chest,femoral or other places depending on the central vein used and age/size of pt. Could be tunnelled or not.
5. Special use lines :SwanGanz,hemodialysis,aquapheresis,umbilical,shea ths for procedures like heart cath or TPA'ing a vessel.
Intraosseous: Not too common,but IO route is used for Peds and in some rare adult cases.
Arterial:Usually for monitoring but there are lines used for chemo that is to go into the hepatic artery. Also umbilical here,too.
Implanted devices: Central ports and arm ports.
Hemodialysis shunt: Surgically-implanted alternative for HD.
That's all I can think of for now--sure I missed a few.