Yes you can buy drop in (electrical equal not mechanical) for analog meters. The analog meter has an impedance plus it has a full scale reading and that is all you need to have (info) to replace.
So both the meters you have, a 1mA = full scale and the 5 mA = full scale are milliamp meters with built in current shunts (impedance). The digital bar graph are virtually identical in that sense, they have shunts. Now they don't have to have the exact same shunt but it would be best because it won't effect your existing circuit. That would be the cleanest way.
On the other hand you can get generic bar graphs and provide your own shunts, which you already have with your existing analog meters, you just have to bring out the two shunt wires, and the two sense wires. The generic bar graphs are generally the volt meter type in the sense they are very high impedance, you simply connect to the sense wires on the current shunt. You can then calibrate full scale your self. Calibration would be full scale = 1mA or 5mA.
So two ways:
1) Buy drop in replacements
2) Use your existing current shunts in your old meters & buy generic bar graph, hook it up, calibrate full scale.